Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 155.25 | ||
Character | \(\chi\) | \(=\) | 648.155 |
Dual form | 648.2.bb.b.347.25 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{43}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.04169 | + | 0.956491i | −0.736589 | + | 0.676341i | ||||
\(3\) | 1.63974 | + | 0.557908i | 0.946703 | + | 0.322108i | ||||
\(4\) | 0.170251 | − | 1.99274i | 0.0851256 | − | 0.996370i | ||||
\(5\) | −1.60979 | + | 1.05877i | −0.719918 | + | 0.473498i | −0.855852 | − | 0.517220i | \(-0.826967\pi\) |
0.135934 | + | 0.990718i | \(0.456596\pi\) | |||||||
\(6\) | −2.24174 | + | 0.987224i | −0.915186 | + | 0.403033i | ||||
\(7\) | −1.00602 | − | 0.949130i | −0.380240 | − | 0.358738i | 0.472266 | − | 0.881456i | \(-0.343436\pi\) |
−0.852505 | + | 0.522719i | \(0.824918\pi\) | |||||||
\(8\) | 1.72869 | + | 2.23867i | 0.611184 | + | 0.791489i | ||||
\(9\) | 2.37748 | + | 1.82965i | 0.792492 | + | 0.609882i | ||||
\(10\) | 0.664198 | − | 2.64266i | 0.210038 | − | 0.835683i | ||||
\(11\) | 0.968063 | + | 1.92757i | 0.291882 | + | 0.581185i | 0.991006 | − | 0.133815i | \(-0.0427229\pi\) |
−0.699124 | + | 0.715000i | \(0.746427\pi\) | |||||||
\(12\) | 1.39093 | − | 3.17259i | 0.401528 | − | 0.915847i | ||||
\(13\) | 5.48198 | − | 2.36470i | 1.52043 | − | 0.655849i | 0.538078 | − | 0.842895i | \(-0.319151\pi\) |
0.982351 | + | 0.187046i | \(0.0598914\pi\) | |||||||
\(14\) | 1.95580 | + | 0.0264549i | 0.522709 | + | 0.00707036i | ||||
\(15\) | −3.23033 | + | 0.837997i | −0.834066 | + | 0.216370i | ||||
\(16\) | −3.94203 | − | 0.678533i | −0.985507 | − | 0.169633i | ||||
\(17\) | 2.40897 | + | 2.87090i | 0.584260 | + | 0.696295i | 0.974492 | − | 0.224422i | \(-0.0720495\pi\) |
−0.390232 | + | 0.920717i | \(0.627605\pi\) | |||||||
\(18\) | −4.22664 | + | 0.368105i | −0.996229 | + | 0.0867632i | ||||
\(19\) | −0.268535 | − | 0.225327i | −0.0616061 | − | 0.0516937i | 0.611465 | − | 0.791272i | \(-0.290581\pi\) |
−0.673071 | + | 0.739578i | \(0.735025\pi\) | |||||||
\(20\) | 1.83579 | + | 3.38814i | 0.410496 | + | 0.757612i | ||||
\(21\) | −1.12008 | − | 2.11759i | −0.244422 | − | 0.462096i | ||||
\(22\) | −2.85213 | − | 1.08200i | −0.608076 | − | 0.230682i | ||||
\(23\) | −0.552084 | − | 0.585174i | −0.115117 | − | 0.122017i | 0.667252 | − | 0.744832i | \(-0.267470\pi\) |
−0.782369 | + | 0.622815i | \(0.785989\pi\) | |||||||
\(24\) | 1.58562 | + | 4.63528i | 0.323664 | + | 0.946172i | ||||
\(25\) | −0.509987 | + | 1.18228i | −0.101997 | + | 0.236457i | ||||
\(26\) | −3.44874 | + | 7.70676i | −0.676353 | + | 1.51142i | ||||
\(27\) | 2.87766 | + | 4.32655i | 0.553807 | + | 0.832645i | ||||
\(28\) | −2.06265 | + | 1.84314i | −0.389804 | + | 0.348322i | ||||
\(29\) | −6.60001 | + | 0.771431i | −1.22559 | + | 0.143251i | −0.704159 | − | 0.710042i | \(-0.748676\pi\) |
−0.521432 | + | 0.853293i | \(0.674602\pi\) | |||||||
\(30\) | 2.56347 | − | 3.96271i | 0.468024 | − | 0.723489i | ||||
\(31\) | 2.41758 | + | 10.2006i | 0.434211 | + | 1.83208i | 0.545263 | + | 0.838265i | \(0.316430\pi\) |
−0.111052 | + | 0.993815i | \(0.535422\pi\) | |||||||
\(32\) | 4.75540 | − | 3.06369i | 0.840643 | − | 0.541589i | ||||
\(33\) | 0.511961 | + | 3.70080i | 0.0891210 | + | 0.644227i | ||||
\(34\) | −5.25539 | − | 0.686439i | −0.901292 | − | 0.117723i | ||||
\(35\) | 2.62439 | + | 0.462751i | 0.443603 | + | 0.0782192i | ||||
\(36\) | 4.05078 | − | 4.42620i | 0.675129 | − | 0.737699i | ||||
\(37\) | −7.36298 | + | 1.29829i | −1.21047 | + | 0.213438i | −0.742217 | − | 0.670159i | \(-0.766226\pi\) |
−0.468248 | + | 0.883597i | \(0.655115\pi\) | |||||||
\(38\) | 0.495255 | − | 0.0221289i | 0.0803409 | − | 0.00358978i | ||||
\(39\) | 10.3083 | − | 0.819040i | 1.65065 | − | 0.131151i | ||||
\(40\) | −5.15306 | − | 1.77349i | −0.814771 | − | 0.280413i | ||||
\(41\) | 5.62821 | + | 4.19004i | 0.878978 | + | 0.654375i | 0.939036 | − | 0.343820i | \(-0.111721\pi\) |
−0.0600575 | + | 0.998195i | \(0.519128\pi\) | |||||||
\(42\) | 3.19224 | + | 1.13453i | 0.492573 | + | 0.175062i | ||||
\(43\) | 0.0630875 | − | 1.08317i | 0.00962075 | − | 0.165182i | −0.990076 | − | 0.140536i | \(-0.955117\pi\) |
0.999696 | − | 0.0246455i | \(-0.00784569\pi\) | |||||||
\(44\) | 4.00596 | − | 1.60093i | 0.603922 | − | 0.241349i | ||||
\(45\) | −5.76441 | − | 0.428129i | −0.859308 | − | 0.0638217i | ||||
\(46\) | 1.13482 | + | 0.0815097i | 0.167319 | + | 0.0120179i | ||||
\(47\) | 3.10073 | + | 0.734887i | 0.452288 | + | 0.107194i | 0.450445 | − | 0.892804i | \(-0.351265\pi\) |
0.00184304 | + | 0.999998i | \(0.499413\pi\) | |||||||
\(48\) | −6.08533 | − | 3.31191i | −0.878342 | − | 0.478032i | ||||
\(49\) | −0.295787 | − | 5.07847i | −0.0422553 | − | 0.725496i | ||||
\(50\) | −0.599592 | − | 1.71937i | −0.0847951 | − | 0.243156i | ||||
\(51\) | 2.34838 | + | 6.05150i | 0.328839 | + | 0.847379i | ||||
\(52\) | −3.77891 | − | 11.3268i | −0.524041 | − | 1.57074i | ||||
\(53\) | 4.63750 | + | 8.03239i | 0.637010 | + | 1.10333i | 0.986086 | + | 0.166239i | \(0.0531622\pi\) |
−0.349076 | + | 0.937094i | \(0.613504\pi\) | |||||||
\(54\) | −7.13595 | − | 1.75448i | −0.971080 | − | 0.238755i | ||||
\(55\) | −3.59924 | − | 2.07802i | −0.485321 | − | 0.280200i | ||||
\(56\) | 0.385695 | − | 3.89289i | 0.0515406 | − | 0.520210i | ||||
\(57\) | −0.314615 | − | 0.519296i | −0.0416717 | − | 0.0687824i | ||||
\(58\) | 6.13732 | − | 7.11644i | 0.805870 | − | 0.934435i | ||||
\(59\) | 2.43447 | − | 4.84743i | 0.316941 | − | 0.631082i | −0.677599 | − | 0.735431i | \(-0.736980\pi\) |
0.994541 | + | 0.104349i | \(0.0332760\pi\) | |||||||
\(60\) | 1.11994 | + | 6.57987i | 0.144584 | + | 0.849458i | ||||
\(61\) | 14.0448 | − | 4.20475i | 1.79826 | − | 0.538363i | 0.800146 | − | 0.599805i | \(-0.204755\pi\) |
0.998111 | + | 0.0614421i | \(0.0195700\pi\) | |||||||
\(62\) | −12.2751 | − | 8.31349i | −1.55895 | − | 1.05581i | ||||
\(63\) | −0.655217 | − | 4.09719i | −0.0825495 | − | 0.516198i | ||||
\(64\) | −2.02328 | + | 7.73992i | −0.252909 | + | 0.967490i | ||||
\(65\) | −6.32115 | + | 9.61084i | −0.784042 | + | 1.19208i | ||||
\(66\) | −4.07309 | − | 3.36542i | −0.501363 | − | 0.414254i | ||||
\(67\) | −7.42466 | − | 0.867818i | −0.907066 | − | 0.106021i | −0.350250 | − | 0.936656i | \(-0.613903\pi\) |
−0.556817 | + | 0.830635i | \(0.687977\pi\) | |||||||
\(68\) | 6.13108 | − | 4.31167i | 0.743503 | − | 0.522867i | ||||
\(69\) | −0.578799 | − | 1.26754i | −0.0696792 | − | 0.152594i | ||||
\(70\) | −3.17643 | + | 2.02816i | −0.379656 | + | 0.242412i | ||||
\(71\) | −3.22352 | − | 1.17327i | −0.382562 | − | 0.139241i | 0.143578 | − | 0.989639i | \(-0.454139\pi\) |
−0.526140 | + | 0.850398i | \(0.676361\pi\) | |||||||
\(72\) | 0.0139475 | + | 8.48527i | 0.00164373 | + | 0.999999i | ||||
\(73\) | 7.68273 | − | 2.79628i | 0.899195 | − | 0.327280i | 0.149265 | − | 0.988797i | \(-0.452309\pi\) |
0.749930 | + | 0.661517i | \(0.230087\pi\) | |||||||
\(74\) | 6.42816 | − | 8.39504i | 0.747259 | − | 0.975904i | ||||
\(75\) | −1.49585 | + | 1.65411i | −0.172726 | + | 0.191000i | ||||
\(76\) | −0.494738 | + | 0.496758i | −0.0567503 | + | 0.0569820i | ||||
\(77\) | 0.855627 | − | 2.85799i | 0.0975077 | − | 0.325699i | ||||
\(78\) | −9.95469 | + | 10.7130i | −1.12715 | + | 1.21301i | ||||
\(79\) | −4.95633 | + | 3.68985i | −0.557631 | + | 0.415141i | −0.838738 | − | 0.544536i | \(-0.816706\pi\) |
0.281107 | + | 0.959676i | \(0.409298\pi\) | |||||||
\(80\) | 7.06424 | − | 3.08142i | 0.789806 | − | 0.344513i | ||||
\(81\) | 2.30480 | + | 8.69988i | 0.256089 | + | 0.966653i | ||||
\(82\) | −9.87060 | + | 1.01858i | −1.09003 | + | 0.112484i | ||||
\(83\) | −6.36991 | + | 4.74222i | −0.699188 | + | 0.520526i | −0.887052 | − | 0.461669i | \(-0.847251\pi\) |
0.187864 | + | 0.982195i | \(0.439843\pi\) | |||||||
\(84\) | −4.41050 | + | 1.87151i | −0.481225 | + | 0.204198i | ||||
\(85\) | −6.91755 | − | 2.07098i | −0.750314 | − | 0.224629i | ||||
\(86\) | 0.970325 | + | 1.18867i | 0.104633 | + | 0.128178i | ||||
\(87\) | −11.2527 | − | 2.41726i | −1.20641 | − | 0.259157i | ||||
\(88\) | −2.64172 | + | 5.49934i | −0.281608 | + | 0.586232i | ||||
\(89\) | −0.850472 | − | 2.33665i | −0.0901498 | − | 0.247685i | 0.886421 | − | 0.462879i | \(-0.153184\pi\) |
−0.976571 | + | 0.215195i | \(0.930961\pi\) | |||||||
\(90\) | 6.41425 | − | 5.06763i | 0.676121 | − | 0.534175i | ||||
\(91\) | −7.75939 | − | 2.82419i | −0.813405 | − | 0.296055i | ||||
\(92\) | −1.26009 | + | 1.00053i | −0.131374 | + | 0.104313i | ||||
\(93\) | −1.72679 | + | 18.0751i | −0.179059 | + | 1.87430i | ||||
\(94\) | −3.93293 | + | 2.20030i | −0.405650 | + | 0.226943i | ||||
\(95\) | 0.670854 | + | 0.0784116i | 0.0688282 | + | 0.00804486i | ||||
\(96\) | 9.50686 | − | 2.37057i | 0.970290 | − | 0.241946i | ||||
\(97\) | −0.829534 | − | 0.545593i | −0.0842264 | − | 0.0553966i | 0.506697 | − | 0.862124i | \(-0.330866\pi\) |
−0.590924 | + | 0.806727i | \(0.701237\pi\) | |||||||
\(98\) | 5.16563 | + | 5.00729i | 0.521807 | + | 0.505813i | ||||
\(99\) | −1.22522 | + | 6.35397i | −0.123140 | + | 0.638598i | ||||
\(100\) | 2.26916 | + | 1.21756i | 0.226916 | + | 0.121756i | ||||
\(101\) | −1.20620 | − | 4.02899i | −0.120021 | − | 0.400900i | 0.876773 | − | 0.480904i | \(-0.159692\pi\) |
−0.996794 | + | 0.0800048i | \(0.974506\pi\) | |||||||
\(102\) | −8.23449 | − | 4.05760i | −0.815336 | − | 0.401763i | ||||
\(103\) | 8.19035 | − | 16.3083i | 0.807019 | − | 1.60691i | 0.0123033 | − | 0.999924i | \(-0.496084\pi\) |
0.794715 | − | 0.606982i | \(-0.207620\pi\) | |||||||
\(104\) | 14.7704 | + | 8.18452i | 1.44836 | + | 0.802559i | ||||
\(105\) | 4.04514 | + | 2.22296i | 0.394765 | + | 0.216938i | ||||
\(106\) | −12.5138 | − | 3.93156i | −1.21544 | − | 0.381867i | ||||
\(107\) | −9.81948 | − | 5.66928i | −0.949285 | − | 0.548070i | −0.0564262 | − | 0.998407i | \(-0.517971\pi\) |
−0.892859 | + | 0.450337i | \(0.851304\pi\) | |||||||
\(108\) | 9.11162 | − | 4.99784i | 0.876766 | − | 0.480917i | ||||
\(109\) | −3.70598 | + | 2.13965i | −0.354969 | + | 0.204941i | −0.666871 | − | 0.745173i | \(-0.732367\pi\) |
0.311903 | + | 0.950114i | \(0.399034\pi\) | |||||||
\(110\) | 5.73691 | − | 1.27798i | 0.546993 | − | 0.121850i | ||||
\(111\) | −12.7977 | − | 1.97901i | −1.21470 | − | 0.187839i | ||||
\(112\) | 3.32174 | + | 4.42412i | 0.313875 | + | 0.418040i | ||||
\(113\) | 16.5889 | − | 0.966194i | 1.56055 | − | 0.0908919i | 0.744007 | − | 0.668172i | \(-0.232923\pi\) |
0.816546 | + | 0.577280i | \(0.195886\pi\) | |||||||
\(114\) | 0.824433 | + | 0.240021i | 0.0772153 | + | 0.0224800i | ||||
\(115\) | 1.50830 | + | 0.357475i | 0.140650 | + | 0.0333347i | ||||
\(116\) | 0.413601 | + | 13.2834i | 0.0384019 | + | 1.23334i | ||||
\(117\) | 17.3599 | + | 4.40807i | 1.60492 | + | 0.407526i | ||||
\(118\) | 2.10055 | + | 7.37809i | 0.193371 | + | 0.679208i | ||||
\(119\) | 0.301386 | − | 5.17460i | 0.0276280 | − | 0.474355i | ||||
\(120\) | −7.46022 | − | 5.78299i | −0.681022 | − | 0.527913i | ||||
\(121\) | 3.79036 | − | 5.09133i | 0.344578 | − | 0.462848i | ||||
\(122\) | −10.6086 | + | 17.8138i | −0.960459 | + | 1.61279i | ||||
\(123\) | 6.89112 | + | 10.0106i | 0.621351 | + | 0.902625i | ||||
\(124\) | 20.7387 | − | 3.08095i | 1.86239 | − | 0.276678i | ||||
\(125\) | −2.10369 | − | 11.9306i | −0.188160 | − | 1.06711i | ||||
\(126\) | 4.60146 | + | 3.64131i | 0.409931 | + | 0.324394i | ||||
\(127\) | 4.71068 | + | 0.830620i | 0.418005 | + | 0.0737056i | 0.378695 | − | 0.925521i | \(-0.376373\pi\) |
0.0393101 | + | 0.999227i | \(0.487484\pi\) | |||||||
\(128\) | −5.29553 | − | 9.99787i | −0.468063 | − | 0.883695i | ||||
\(129\) | 0.707756 | − | 1.74092i | 0.0623145 | − | 0.153279i | ||||
\(130\) | −2.60798 | − | 16.0577i | −0.228735 | − | 1.40835i | ||||
\(131\) | −3.98902 | − | 16.8310i | −0.348522 | − | 1.47053i | −0.811601 | − | 0.584213i | \(-0.801403\pi\) |
0.463079 | − | 0.886317i | \(-0.346745\pi\) | |||||||
\(132\) | 7.46190 | − | 0.390140i | 0.649475 | − | 0.0339573i | ||||
\(133\) | 0.0562861 | + | 0.481558i | 0.00488062 | + | 0.0417564i | ||||
\(134\) | 8.56428 | − | 6.19762i | 0.739841 | − | 0.535392i | ||||
\(135\) | −9.21326 | − | 3.91803i | −0.792951 | − | 0.337210i | ||||
\(136\) | −2.26263 | + | 10.3558i | −0.194019 | + | 0.887999i | ||||
\(137\) | −13.2464 | − | 5.71395i | −1.13172 | − | 0.488176i | −0.253930 | − | 0.967223i | \(-0.581723\pi\) |
−0.877790 | + | 0.479047i | \(0.840983\pi\) | |||||||
\(138\) | 1.81533 | + | 0.766777i | 0.154531 | + | 0.0652724i | ||||
\(139\) | −6.91154 | − | 7.32580i | −0.586229 | − | 0.621366i | 0.364570 | − | 0.931176i | \(-0.381216\pi\) |
−0.950799 | + | 0.309810i | \(0.899735\pi\) | |||||||
\(140\) | 1.36895 | − | 5.15094i | 0.115697 | − | 0.435334i | ||||
\(141\) | 4.67439 | + | 2.93495i | 0.393655 | + | 0.247167i | ||||
\(142\) | 4.48014 | − | 1.86109i | 0.375965 | − | 0.156179i | ||||
\(143\) | 9.86503 | + | 8.27774i | 0.824955 | + | 0.692220i | ||||
\(144\) | −8.13061 | − | 8.82571i | −0.677551 | − | 0.735476i | ||||
\(145\) | 9.80784 | − | 8.22975i | 0.814497 | − | 0.683444i | ||||
\(146\) | −5.32843 | + | 10.2613i | −0.440984 | + | 0.849234i | ||||
\(147\) | 2.34831 | − | 8.49238i | 0.193685 | − | 0.700440i | ||||
\(148\) | 1.33360 | + | 14.8935i | 0.109621 | + | 1.22424i | ||||
\(149\) | 2.42702 | + | 5.62647i | 0.198830 | + | 0.460939i | 0.988237 | − | 0.152931i | \(-0.0488713\pi\) |
−0.789407 | + | 0.613870i | \(0.789612\pi\) | |||||||
\(150\) | −0.0239212 | − | 3.15384i | −0.00195316 | − | 0.257510i | ||||
\(151\) | −0.349304 | − | 0.695522i | −0.0284260 | − | 0.0566008i | 0.878971 | − | 0.476874i | \(-0.158230\pi\) |
−0.907397 | + | 0.420274i | \(0.861934\pi\) | |||||||
\(152\) | 0.0402206 | − | 0.990681i | 0.00326232 | − | 0.0803549i | ||||
\(153\) | 0.474545 | + | 11.2330i | 0.0383647 | + | 0.908138i | ||||
\(154\) | 1.84234 | + | 3.79555i | 0.148460 | + | 0.305854i | ||||
\(155\) | −14.6919 | − | 13.8611i | −1.18008 | − | 1.11335i | ||||
\(156\) | 0.122867 | − | 20.6812i | 0.00983721 | − | 1.65582i | ||||
\(157\) | 4.97397 | + | 7.56255i | 0.396966 | + | 0.603558i | 0.977565 | − | 0.210632i | \(-0.0675521\pi\) |
−0.580599 | + | 0.814189i | \(0.697182\pi\) | |||||||
\(158\) | 1.63367 | − | 8.58438i | 0.129968 | − | 0.682937i | ||||
\(159\) | 3.12295 | + | 15.7583i | 0.247666 | + | 1.24971i | ||||
\(160\) | −4.41142 | + | 9.96678i | −0.348753 | + | 0.787943i | ||||
\(161\) | 1.11270i | 0.0876927i | ||||||||
\(162\) | −10.7222 | − | 6.85809i | −0.842419 | − | 0.538823i | ||||
\(163\) | −10.1937 | −0.798432 | −0.399216 | − | 0.916857i | \(-0.630718\pi\) | ||||
−0.399216 | + | 0.916857i | \(0.630718\pi\) | |||||||
\(164\) | 9.30788 | − | 10.5022i | 0.726823 | − | 0.820083i | ||||
\(165\) | −4.74246 | − | 5.41545i | −0.369200 | − | 0.421592i | ||||
\(166\) | 2.09960 | − | 11.0327i | 0.162961 | − | 0.856303i | ||||
\(167\) | 4.81220 | − | 3.16504i | 0.372379 | − | 0.244918i | −0.349500 | − | 0.936936i | \(-0.613649\pi\) |
0.721880 | + | 0.692018i | \(0.243278\pi\) | |||||||
\(168\) | 2.80431 | − | 6.16814i | 0.216358 | − | 0.475882i | ||||
\(169\) | 15.5392 | − | 16.4706i | 1.19532 | − | 1.26697i | ||||
\(170\) | 9.18684 | − | 4.45925i | 0.704599 | − | 0.342009i | ||||
\(171\) | −0.226166 | − | 1.02703i | −0.0172954 | − | 0.0785393i | ||||
\(172\) | −2.14774 | − | 0.310128i | −0.163763 | − | 0.0236470i | ||||
\(173\) | −8.13950 | + | 4.08781i | −0.618835 | + | 0.310791i | −0.730455 | − | 0.682960i | \(-0.760692\pi\) |
0.111621 | + | 0.993751i | \(0.464396\pi\) | |||||||
\(174\) | 14.0339 | − | 8.24504i | 1.06391 | − | 0.625055i | ||||
\(175\) | 1.63520 | − | 0.705355i | 0.123609 | − | 0.0533198i | ||||
\(176\) | −2.50821 | − | 8.25541i | −0.189064 | − | 0.622275i | ||||
\(177\) | 6.69632 | − | 6.59030i | 0.503326 | − | 0.495358i | ||||
\(178\) | 3.12092 | + | 1.62061i | 0.233923 | + | 0.121470i | ||||
\(179\) | −5.23486 | − | 6.23867i | −0.391272 | − | 0.466300i | 0.534066 | − | 0.845443i | \(-0.320663\pi\) |
−0.925338 | + | 0.379143i | \(0.876219\pi\) | |||||||
\(180\) | −1.83455 | + | 11.4141i | −0.136739 | + | 0.850756i | ||||
\(181\) | 7.44220 | − | 8.86926i | 0.553174 | − | 0.659247i | −0.414913 | − | 0.909861i | \(-0.636188\pi\) |
0.968087 | + | 0.250614i | \(0.0806324\pi\) | |||||||
\(182\) | 10.7842 | − | 4.47985i | 0.799379 | − | 0.332068i | ||||
\(183\) | 25.3757 | + | 0.941044i | 1.87583 | + | 0.0695640i | ||||
\(184\) | 0.355631 | − | 2.24752i | 0.0262175 | − | 0.165689i | ||||
\(185\) | 10.4782 | − | 9.88569i | 0.770374 | − | 0.726811i | ||||
\(186\) | −15.4899 | − | 20.4803i | −1.13577 | − | 1.50169i | ||||
\(187\) | −3.20183 | + | 7.42267i | −0.234141 | + | 0.542799i | ||||
\(188\) | 1.99234 | − | 6.05384i | 0.145307 | − | 0.441522i | ||||
\(189\) | 1.21147 | − | 7.08387i | 0.0881218 | − | 0.515276i | ||||
\(190\) | −0.773825 | + | 0.559985i | −0.0561392 | + | 0.0406256i | ||||
\(191\) | −4.60344 | + | 0.538065i | −0.333093 | + | 0.0389330i | −0.280996 | − | 0.959709i | \(-0.590665\pi\) |
−0.0520975 | + | 0.998642i | \(0.516591\pi\) | |||||||
\(192\) | −7.63580 | + | 11.5626i | −0.551067 | + | 0.834461i | ||||
\(193\) | 23.1660 | − | 5.49043i | 1.66752 | − | 0.395210i | 0.714866 | − | 0.699261i | \(-0.246488\pi\) |
0.952656 | + | 0.304051i | \(0.0983394\pi\) | |||||||
\(194\) | 1.38597 | − | 0.225101i | 0.0995072 | − | 0.0161613i | ||||
\(195\) | −15.7270 | + | 12.2326i | −1.12623 | + | 0.875997i | ||||
\(196\) | −10.1704 | − | 0.275188i | −0.726459 | − | 0.0196563i | ||||
\(197\) | 2.70871 | − | 15.3618i | 0.192987 | − | 1.09449i | −0.722268 | − | 0.691613i | \(-0.756900\pi\) |
0.915256 | − | 0.402873i | \(-0.131989\pi\) | |||||||
\(198\) | −4.80120 | − | 7.79081i | −0.341207 | − | 0.553669i | ||||
\(199\) | 7.85644 | − | 1.38530i | 0.556928 | − | 0.0982014i | 0.111902 | − | 0.993719i | \(-0.464306\pi\) |
0.445026 | + | 0.895518i | \(0.353195\pi\) | |||||||
\(200\) | −3.52835 | + | 0.902106i | −0.249492 | + | 0.0637885i | ||||
\(201\) | −11.6903 | − | 5.56527i | −0.824572 | − | 0.392544i | ||||
\(202\) | 5.11018 | + | 3.04325i | 0.359551 | + | 0.214123i | ||||
\(203\) | 7.37193 | + | 5.48820i | 0.517408 | + | 0.385196i | ||||
\(204\) | 12.4589 | − | 3.64943i | 0.872296 | − | 0.255512i | ||||
\(205\) | −13.4965 | − | 0.786083i | −0.942638 | − | 0.0549024i | ||||
\(206\) | 7.06692 | + | 24.8223i | 0.492376 | + | 1.72945i | ||||
\(207\) | −0.241905 | − | 2.40136i | −0.0168135 | − | 0.166906i | ||||
\(208\) | −23.2147 | + | 5.60200i | −1.60965 | + | 0.388429i | ||||
\(209\) | 0.174376 | − | 0.735751i | 0.0120619 | − | 0.0508930i | ||||
\(210\) | −6.34003 | + | 1.55350i | −0.437504 | + | 0.107201i | ||||
\(211\) | −1.02220 | − | 17.5504i | −0.0703709 | − | 1.20822i | −0.829962 | − | 0.557820i | \(-0.811638\pi\) |
0.759591 | − | 0.650401i | \(-0.225399\pi\) | |||||||
\(212\) | 16.7960 | − | 7.87381i | 1.15355 | − | 0.540776i | ||||
\(213\) | −4.63116 | − | 3.72228i | −0.317322 | − | 0.255046i | ||||
\(214\) | 15.6515 | − | 3.48659i | 1.06991 | − | 0.238338i | ||||
\(215\) | 1.04527 | + | 1.81047i | 0.0712871 | + | 0.123473i | ||||
\(216\) | −4.71113 | + | 13.9214i | −0.320552 | + | 0.947231i | ||||
\(217\) | 7.24955 | − | 12.5566i | 0.492132 | − | 0.852397i | ||||
\(218\) | 1.81394 | − | 5.77359i | 0.122856 | − | 0.391037i | ||||
\(219\) | 14.1577 | − | 0.298917i | 0.956690 | − | 0.0201989i | ||||
\(220\) | −4.75373 | + | 6.81856i | −0.320496 | + | 0.459707i | ||||
\(221\) | 19.9947 | + | 10.0417i | 1.34499 | + | 0.675480i | ||||
\(222\) | 15.2242 | − | 10.1793i | 1.02178 | − | 0.683192i | ||||
\(223\) | −22.5023 | + | 6.73676i | −1.50687 | + | 0.451127i | −0.930570 | − | 0.366113i | \(-0.880688\pi\) |
−0.576298 | + | 0.817240i | \(0.695503\pi\) | |||||||
\(224\) | −7.69186 | − | 1.43136i | −0.513934 | − | 0.0956367i | ||||
\(225\) | −3.37564 | + | 1.87776i | −0.225043 | + | 0.125184i | ||||
\(226\) | −16.3564 | + | 16.8736i | −1.08801 | + | 1.12242i | ||||
\(227\) | −13.0048 | + | 19.7728i | −0.863156 | + | 1.31237i | 0.0855913 | + | 0.996330i | \(0.472722\pi\) |
−0.948748 | + | 0.316035i | \(0.897648\pi\) | |||||||
\(228\) | −1.08838 | + | 0.538535i | −0.0720800 | + | 0.0356653i | ||||
\(229\) | −0.459401 | + | 3.93043i | −0.0303581 | + | 0.259730i | 0.969533 | + | 0.244961i | \(0.0787753\pi\) |
−0.999891 | + | 0.0147687i | \(0.995299\pi\) | |||||||
\(230\) | −1.91311 | + | 1.07030i | −0.126147 | + | 0.0705735i | ||||
\(231\) | 2.99750 | − | 4.20900i | 0.197221 | − | 0.276932i | ||||
\(232\) | −13.1363 | − | 13.4417i | −0.862443 | − | 0.882489i | ||||
\(233\) | −0.0695627 | + | 0.191122i | −0.00455721 | + | 0.0125208i | −0.941950 | − | 0.335752i | \(-0.891010\pi\) |
0.937393 | + | 0.348273i | \(0.113232\pi\) | |||||||
\(234\) | −22.2999 | + | 12.0127i | −1.45779 | + | 0.785293i | ||||
\(235\) | −5.76960 | + | 2.09996i | −0.376367 | + | 0.136986i | ||||
\(236\) | −9.24520 | − | 5.67655i | −0.601811 | − | 0.369512i | ||||
\(237\) | −10.1857 | + | 3.28521i | −0.661631 | + | 0.213397i | ||||
\(238\) | 4.63551 | + | 5.67862i | 0.300475 | + | 0.368090i | ||||
\(239\) | −0.272569 | + | 0.910444i | −0.0176310 | + | 0.0588917i | −0.966352 | − | 0.257222i | \(-0.917193\pi\) |
0.948721 | + | 0.316114i | \(0.102378\pi\) | |||||||
\(240\) | 13.3026 | − | 1.11153i | 0.858682 | − | 0.0717488i | ||||
\(241\) | 15.3126 | + | 20.5684i | 0.986373 | + | 1.32493i | 0.945450 | + | 0.325766i | \(0.105622\pi\) |
0.0409222 | + | 0.999162i | \(0.486970\pi\) | |||||||
\(242\) | 0.921422 | + | 8.92905i | 0.0592312 | + | 0.573981i | ||||
\(243\) | −1.07447 | + | 15.5514i | −0.0689273 | + | 0.997622i | ||||
\(244\) | −5.98782 | − | 28.7036i | −0.383331 | − | 1.83756i | ||||
\(245\) | 5.85310 | + | 7.86208i | 0.373941 | + | 0.502290i | ||||
\(246\) | −16.7535 | − | 3.83668i | −1.06816 | − | 0.244618i | ||||
\(247\) | −2.00494 | − | 0.600238i | −0.127571 | − | 0.0381922i | ||||
\(248\) | −18.6565 | + | 23.0458i | −1.18469 | + | 1.46341i | ||||
\(249\) | −13.0907 | + | 4.22217i | −0.829589 | + | 0.267569i | ||||
\(250\) | 13.6029 | + | 10.4159i | 0.860326 | + | 0.658760i | ||||
\(251\) | −9.47908 | − | 26.0436i | −0.598314 | − | 1.64385i | −0.754633 | − | 0.656148i | \(-0.772185\pi\) |
0.156319 | − | 0.987707i | \(-0.450037\pi\) | |||||||
\(252\) | −8.27620 | + | 0.608124i | −0.521351 | + | 0.0383082i | ||||
\(253\) | 0.593514 | − | 1.63067i | 0.0373139 | − | 0.102519i | ||||
\(254\) | −5.70157 | + | 3.64047i | −0.357748 | + | 0.228423i | ||||
\(255\) | −10.1876 | − | 7.25522i | −0.637969 | − | 0.454339i | ||||
\(256\) | 15.0792 | + | 5.34959i | 0.942449 | + | 0.334350i | ||||
\(257\) | −2.87882 | + | 24.6299i | −0.179576 | + | 1.53637i | 0.539827 | + | 0.841776i | \(0.318490\pi\) |
−0.719402 | + | 0.694593i | \(0.755584\pi\) | |||||||
\(258\) | 0.927907 | + | 2.49047i | 0.0577689 | + | 0.155050i | ||||
\(259\) | 8.63954 | + | 5.68232i | 0.536835 | + | 0.353082i | ||||
\(260\) | 18.0757 | + | 14.2327i | 1.12101 | + | 0.882672i | ||||
\(261\) | −17.1028 | − | 10.2416i | −1.05864 | − | 0.633940i | ||||
\(262\) | 20.2540 | + | 13.7173i | 1.25130 | + | 0.847456i | ||||
\(263\) | 1.33029 | + | 4.44349i | 0.0820294 | + | 0.273997i | 0.989158 | − | 0.146857i | \(-0.0469156\pi\) |
−0.907128 | + | 0.420854i | \(0.861730\pi\) | |||||||
\(264\) | −7.39985 | + | 7.54364i | −0.455429 | + | 0.464279i | ||||
\(265\) | −15.9699 | − | 8.02036i | −0.981021 | − | 0.492687i | ||||
\(266\) | −0.519239 | − | 0.447799i | −0.0318366 | − | 0.0274563i | ||||
\(267\) | −0.0909136 | − | 4.30598i | −0.00556382 | − | 0.263522i | ||||
\(268\) | −2.99339 | + | 14.6477i | −0.182851 | + | 0.894749i | ||||
\(269\) | 4.52270 | − | 7.83355i | 0.275754 | − | 0.477620i | −0.694571 | − | 0.719424i | \(-0.744406\pi\) |
0.970325 | + | 0.241804i | \(0.0777391\pi\) | |||||||
\(270\) | 13.3450 | − | 4.73101i | 0.812148 | − | 0.287920i | ||||
\(271\) | 13.2107 | − | 7.62721i | 0.802494 | − | 0.463320i | −0.0418486 | − | 0.999124i | \(-0.513325\pi\) |
0.844342 | + | 0.535804i | \(0.179991\pi\) | |||||||
\(272\) | −7.54822 | − | 12.9517i | −0.457678 | − | 0.785313i | ||||
\(273\) | −11.1477 | − | 8.95995i | −0.674691 | − | 0.542281i | ||||
\(274\) | 19.2641 | − | 6.71790i | 1.16379 | − | 0.405843i | ||||
\(275\) | −2.77263 | + | 0.161488i | −0.167196 | + | 0.00973807i | ||||
\(276\) | −2.62443 | + | 0.937595i | −0.157972 | + | 0.0564366i | ||||
\(277\) | −7.44275 | + | 31.4034i | −0.447191 | + | 1.88685i | 0.0146626 | + | 0.999892i | \(0.495333\pi\) |
−0.461854 | + | 0.886956i | \(0.652816\pi\) | |||||||
\(278\) | 14.2068 | + | 1.02042i | 0.852065 | + | 0.0612007i | ||||
\(279\) | −12.9157 | + | 28.6750i | −0.773243 | + | 1.71673i | ||||
\(280\) | 3.50081 | + | 6.67509i | 0.209213 | + | 0.398913i | ||||
\(281\) | −13.6313 | − | 0.793935i | −0.813178 | − | 0.0473622i | −0.353485 | − | 0.935440i | \(-0.615003\pi\) |
−0.459693 | + | 0.888078i | \(0.652040\pi\) | |||||||
\(282\) | −7.67653 | + | 1.41369i | −0.457131 | + | 0.0841843i | ||||
\(283\) | 1.43359 | − | 1.92565i | 0.0852183 | − | 0.114468i | −0.757470 | − | 0.652871i | \(-0.773565\pi\) |
0.842688 | + | 0.538402i | \(0.180972\pi\) | |||||||
\(284\) | −2.88682 | + | 6.22390i | −0.171302 | + | 0.369320i | ||||
\(285\) | 1.05628 | + | 0.502850i | 0.0625685 | + | 0.0297862i | ||||
\(286\) | −18.1939 | + | 0.812937i | −1.07583 | + | 0.0480700i | ||||
\(287\) | −1.68519 | − | 9.55717i | −0.0994734 | − | 0.564142i | ||||
\(288\) | 16.9113 | + | 1.41683i | 0.996509 | + | 0.0834877i | ||||
\(289\) | 0.513101 | − | 2.90994i | 0.0301824 | − | 0.171173i | ||||
\(290\) | −2.34508 | + | 17.9540i | −0.137708 | + | 1.05429i | ||||
\(291\) | −1.05583 | − | 1.35743i | −0.0618937 | − | 0.0795741i | ||||
\(292\) | −4.26428 | − | 15.7858i | −0.249548 | − | 0.923791i | ||||
\(293\) | −15.1873 | + | 3.59945i | −0.887251 | + | 0.210282i | −0.648879 | − | 0.760892i | \(-0.724762\pi\) |
−0.238372 | + | 0.971174i | \(0.576614\pi\) | |||||||
\(294\) | 5.67667 | + | 11.0926i | 0.331070 | + | 0.646933i | ||||
\(295\) | 1.21335 | + | 10.3809i | 0.0706440 | + | 0.604398i | ||||
\(296\) | −15.6347 | − | 14.2389i | −0.908750 | − | 0.827621i | ||||
\(297\) | −5.55398 | + | 9.73528i | −0.322274 | + | 0.564898i | ||||
\(298\) | −7.90988 | − | 3.53964i | −0.458207 | − | 0.205046i | ||||
\(299\) | −4.41027 | − | 1.90241i | −0.255053 | − | 0.110019i | ||||
\(300\) | 3.04154 | + | 3.26245i | 0.175603 | + | 0.188358i | ||||
\(301\) | −1.09154 | + | 1.02981i | −0.0629152 | + | 0.0593574i | ||||
\(302\) | 1.02913 | + | 0.390414i | 0.0592197 | + | 0.0224658i | ||||
\(303\) | 0.269954 | − | 7.27944i | 0.0155084 | − | 0.418193i | ||||
\(304\) | 0.905680 | + | 1.07046i | 0.0519443 | + | 0.0613949i | ||||
\(305\) | −18.1573 | + | 21.6390i | −1.03968 | + | 1.23905i | ||||
\(306\) | −11.2386 | − | 11.2475i | −0.642470 | − | 0.642976i | ||||
\(307\) | −11.3291 | + | 9.50627i | −0.646588 | + | 0.542551i | −0.906033 | − | 0.423206i | \(-0.860905\pi\) |
0.259446 | + | 0.965758i | \(0.416460\pi\) | |||||||
\(308\) | −5.54957 | − | 2.19162i | −0.316216 | − | 0.124879i | ||||
\(309\) | 22.5286 | − | 22.1719i | 1.28160 | − | 1.26132i | ||||
\(310\) | 28.5625 | + | 0.386347i | 1.62224 | + | 0.0219430i | ||||
\(311\) | −3.76197 | − | 8.72124i | −0.213322 | − | 0.494536i | 0.777635 | − | 0.628716i | \(-0.216419\pi\) |
−0.990957 | + | 0.134180i | \(0.957160\pi\) | |||||||
\(312\) | 19.6534 | + | 21.6610i | 1.11265 | + | 1.22631i | ||||
\(313\) | −1.42327 | + | 0.714792i | −0.0804478 | + | 0.0404024i | −0.488568 | − | 0.872526i | \(-0.662481\pi\) |
0.408120 | + | 0.912928i | \(0.366184\pi\) | |||||||
\(314\) | −12.4149 | − | 3.12031i | −0.700611 | − | 0.176089i | ||||
\(315\) | 5.39276 | + | 5.90188i | 0.303848 | + | 0.332533i | ||||
\(316\) | 6.50910 | + | 10.5049i | 0.366165 | + | 0.590946i | ||||
\(317\) | 17.0266 | − | 18.0471i | 0.956308 | − | 1.01363i | −0.0435858 | − | 0.999050i | \(-0.513878\pi\) |
0.999894 | − | 0.0145775i | \(-0.00464034\pi\) | |||||||
\(318\) | −18.3258 | − | 13.4282i | −1.02766 | − | 0.753019i | ||||
\(319\) | −7.87622 | − | 11.9752i | −0.440983 | − | 0.670483i | ||||
\(320\) | −4.93778 | − | 14.6018i | −0.276030 | − | 0.816266i | ||||
\(321\) | −12.9384 | − | 14.7745i | −0.722153 | − | 0.824632i | ||||
\(322\) | −1.06428 | − | 1.15909i | −0.0593102 | − | 0.0645935i | ||||
\(323\) | − | 1.31374i | − | 0.0730986i | ||||||
\(324\) | 17.7290 | − | 3.11170i | 0.984944 | − | 0.172872i | ||||
\(325\) | 7.68722i | 0.426410i | ||||||||
\(326\) | 10.6187 | − | 9.75018i | 0.588116 | − | 0.540013i | ||||
\(327\) | −7.27056 | + | 1.44087i | −0.402063 | + | 0.0796801i | ||||
\(328\) | 0.349292 | + | 19.8430i | 0.0192864 | + | 1.09564i | ||||
\(329\) | −2.42189 | − | 3.68231i | −0.133523 | − | 0.203012i | ||||
\(330\) | 10.1200 | + | 1.10512i | 0.557089 | + | 0.0608350i | ||||
\(331\) | 1.90588 | − | 2.02011i | 0.104757 | − | 0.111035i | −0.672874 | − | 0.739758i | \(-0.734940\pi\) |
0.777630 | + | 0.628722i | \(0.216422\pi\) | |||||||
\(332\) | 8.36553 | + | 13.5009i | 0.459118 | + | 0.740960i | ||||
\(333\) | −19.8807 | − | 10.3850i | −1.08946 | − | 0.569093i | ||||
\(334\) | −1.98551 | + | 7.89983i | −0.108642 | + | 0.432259i | ||||
\(335\) | 12.8709 | − | 6.46403i | 0.703214 | − | 0.353168i | ||||
\(336\) | 2.97853 | + | 9.10762i | 0.162492 | + | 0.496861i | ||||
\(337\) | 1.37438 | + | 3.18616i | 0.0748671 | + | 0.173561i | 0.951540 | − | 0.307526i | \(-0.0995012\pi\) |
−0.876673 | + | 0.481088i | \(0.840242\pi\) | |||||||
\(338\) | −0.433121 | + | 32.0205i | −0.0235587 | + | 1.74168i | ||||
\(339\) | 27.7405 | + | 7.67078i | 1.50666 | + | 0.416620i | ||||
\(340\) | −5.30464 | + | 13.4323i | −0.287685 | + | 0.728469i | ||||
\(341\) | −17.3220 | + | 14.5349i | −0.938039 | + | 0.787108i | ||||
\(342\) | 1.21794 | + | 0.853529i | 0.0658589 | + | 0.0461536i | ||||
\(343\) | −10.7458 | + | 12.8063i | −0.580217 | + | 0.691476i | ||||
\(344\) | 2.53392 | − | 1.73123i | 0.136620 | − | 0.0933418i | ||||
\(345\) | 2.27378 | + | 1.42766i | 0.122416 | + | 0.0768626i | ||||
\(346\) | 4.56891 | − | 12.0436i | 0.245626 | − | 0.647468i | ||||
\(347\) | 4.52060 | − | 4.26497i | 0.242679 | − | 0.228956i | −0.555286 | − | 0.831659i | \(-0.687391\pi\) |
0.797965 | + | 0.602704i | \(0.205910\pi\) | |||||||
\(348\) | −6.73274 | + | 22.0121i | −0.360913 | + | 1.17997i | ||||
\(349\) | 13.9736 | + | 6.02760i | 0.747987 | + | 0.322650i | 0.735730 | − | 0.677275i | \(-0.236839\pi\) |
0.0122571 | + | 0.999925i | \(0.496098\pi\) | |||||||
\(350\) | −1.02871 | + | 2.29881i | −0.0549868 | + | 0.122877i | ||||
\(351\) | 26.0063 | + | 16.9133i | 1.38811 | + | 0.902764i | ||||
\(352\) | 10.5090 | + | 6.20052i | 0.560132 | + | 0.330489i | ||||
\(353\) | 1.00210 | + | 8.57348i | 0.0533362 | + | 0.456320i | 0.993346 | + | 0.115172i | \(0.0367418\pi\) |
−0.940009 | + | 0.341149i | \(0.889184\pi\) | |||||||
\(354\) | −0.671945 | + | 13.2700i | −0.0357135 | + | 0.705295i | ||||
\(355\) | 6.43141 | − | 1.52427i | 0.341344 | − | 0.0809000i | ||||
\(356\) | −4.80114 | + | 1.29695i | −0.254460 | + | 0.0687383i | ||||
\(357\) | 3.38115 | − | 8.31684i | 0.178949 | − | 0.440174i | ||||
\(358\) | 11.4204 | + | 1.49168i | 0.603584 | + | 0.0788378i | ||||
\(359\) | −2.69259 | + | 15.2704i | −0.142109 | + | 0.805943i | 0.827533 | + | 0.561417i | \(0.189744\pi\) |
−0.969643 | + | 0.244526i | \(0.921368\pi\) | |||||||
\(360\) | −9.00643 | − | 13.6447i | −0.474681 | − | 0.719139i | ||||
\(361\) | −3.27798 | − | 18.5903i | −0.172525 | − | 0.978438i | ||||
\(362\) | 0.730880 | + | 16.3574i | 0.0384142 | + | 0.859728i | ||||
\(363\) | 9.05568 | − | 6.23378i | 0.475300 | − | 0.327188i | ||||
\(364\) | −6.94892 | + | 14.9816i | −0.364222 | + | 0.785251i | ||||
\(365\) | −9.40692 | + | 12.6357i | −0.492381 | + | 0.661382i | ||||
\(366\) | −27.3338 | + | 23.2913i | −1.42876 | + | 1.21746i | ||||
\(367\) | 22.2995 | + | 1.29880i | 1.16402 | + | 0.0677967i | 0.629253 | − | 0.777200i | \(-0.283361\pi\) |
0.534771 | + | 0.844997i | \(0.320398\pi\) | |||||||
\(368\) | 1.77927 | + | 2.68138i | 0.0927508 | + | 0.139777i | ||||
\(369\) | 5.71464 | + | 20.2594i | 0.297492 | + | 1.05466i | ||||
\(370\) | −1.45952 | + | 20.3202i | −0.0758771 | + | 1.05640i | ||||
\(371\) | 2.95837 | − | 12.4823i | 0.153591 | − | 0.648050i | ||||
\(372\) | 35.7249 | + | 6.51834i | 1.85225 | + | 0.337960i | ||||
\(373\) | 9.06867 | − | 0.528190i | 0.469558 | − | 0.0273486i | 0.178265 | − | 0.983983i | \(-0.442952\pi\) |
0.291293 | + | 0.956634i | \(0.405915\pi\) | |||||||
\(374\) | −3.76439 | − | 10.7947i | −0.194652 | − | 0.558179i | ||||
\(375\) | 3.20669 | − | 20.7368i | 0.165593 | − | 1.07084i | ||||
\(376\) | 3.71503 | + | 8.21191i | 0.191588 | + | 0.423497i | ||||
\(377\) | −34.3570 | + | 19.8360i | −1.76947 | + | 1.02161i | ||||
\(378\) | 5.51367 | + | 8.53799i | 0.283593 | + | 0.439147i | ||||
\(379\) | −2.69016 | + | 4.65950i | −0.138184 | + | 0.239342i | −0.926809 | − | 0.375532i | \(-0.877460\pi\) |
0.788625 | + | 0.614874i | \(0.210793\pi\) | |||||||
\(380\) | 0.270468 | − | 1.32349i | 0.0138747 | − | 0.0678936i | ||||
\(381\) | 7.26087 | + | 3.99012i | 0.371986 | + | 0.204420i | ||||
\(382\) | 4.28072 | − | 4.96365i | 0.219021 | − | 0.253962i | ||||
\(383\) | −19.5899 | − | 9.83840i | −1.00100 | − | 0.502719i | −0.128692 | − | 0.991685i | \(-0.541078\pi\) |
−0.872303 | + | 0.488966i | \(0.837374\pi\) | |||||||
\(384\) | −3.10539 | − | 19.3483i | −0.158471 | − | 0.987364i | ||||
\(385\) | 1.64859 | + | 5.50667i | 0.0840199 | + | 0.280646i | ||||
\(386\) | −18.8803 | + | 27.8774i | −0.960981 | + | 1.41892i | ||||
\(387\) | 2.13181 | − | 2.45979i | 0.108366 | − | 0.125038i | ||||
\(388\) | −1.22845 | + | 1.56016i | −0.0623653 | + | 0.0792050i | ||||
\(389\) | −25.9299 | − | 17.0543i | −1.31470 | − | 0.864689i | −0.318175 | − | 0.948032i | \(-0.603070\pi\) |
−0.996521 | + | 0.0833427i | \(0.973440\pi\) | |||||||
\(390\) | 4.68230 | − | 27.7854i | 0.237098 | − | 1.40697i | ||||
\(391\) | 0.350023 | − | 2.99464i | 0.0177014 | − | 0.151446i | ||||
\(392\) | 10.8577 | − | 9.44126i | 0.548396 | − | 0.476856i | ||||
\(393\) | 2.84920 | − | 29.8239i | 0.143723 | − | 1.50442i | ||||
\(394\) | 11.8718 | + | 18.5932i | 0.598094 | + | 0.936712i | ||||
\(395\) | 4.07192 | − | 11.1875i | 0.204880 | − | 0.562904i | ||||
\(396\) | 12.4532 | + | 3.52333i | 0.625798 | + | 0.177054i | ||||
\(397\) | −3.78029 | − | 10.3863i | −0.189727 | − | 0.521272i | 0.807960 | − | 0.589237i | \(-0.200572\pi\) |
−0.997688 | + | 0.0679650i | \(0.978349\pi\) | |||||||
\(398\) | −6.85897 | + | 8.95767i | −0.343809 | + | 0.449007i | ||||
\(399\) | −0.176371 | + | 0.821032i | −0.00882959 | + | 0.0411030i | ||||
\(400\) | 2.81260 | − | 4.31455i | 0.140630 | − | 0.215727i | ||||
\(401\) | 8.91234 | + | 2.66818i | 0.445061 | + | 0.133243i | 0.501489 | − | 0.865164i | \(-0.332786\pi\) |
−0.0564278 | + | 0.998407i | \(0.517971\pi\) | |||||||
\(402\) | 17.5009 | − | 5.38438i | 0.872864 | − | 0.268549i | ||||
\(403\) | 37.3745 | + | 50.2026i | 1.86175 | + | 2.50077i | ||||
\(404\) | −8.23409 | + | 1.71770i | −0.409661 | + | 0.0854590i | ||||
\(405\) | −12.9214 | − | 11.5647i | −0.642071 | − | 0.574654i | ||||
\(406\) | −12.9287 | + | 1.33416i | −0.641641 | + | 0.0662133i | ||||
\(407\) | −9.63038 | − | 12.9358i | −0.477360 | − | 0.641206i | ||||
\(408\) | −9.48768 | + | 15.7184i | −0.469710 | + | 0.778176i | ||||
\(409\) | −3.55160 | + | 11.8632i | −0.175615 | + | 0.586596i | 0.824179 | + | 0.566329i | \(0.191637\pi\) |
−0.999795 | + | 0.0202668i | \(0.993548\pi\) | |||||||
\(410\) | 14.8111 | − | 12.0904i | 0.731469 | − | 0.597104i | ||||
\(411\) | −18.5328 | − | 16.7597i | −0.914156 | − | 0.826694i | ||||
\(412\) | −31.1038 | − | 19.0977i | −1.53238 | − | 0.940878i | ||||
\(413\) | −7.04997 | + | 2.56598i | −0.346906 | + | 0.126264i | ||||
\(414\) | 2.54887 | + | 2.27010i | 0.125270 | + | 0.111569i | ||||
\(415\) | 5.23325 | − | 14.3782i | 0.256890 | − | 0.705800i | ||||
\(416\) | 18.8243 | − | 28.0402i | 0.922938 | − | 1.37478i | ||||
\(417\) | −7.24598 | − | 15.8684i | −0.354837 | − | 0.777079i | ||||
\(418\) | 0.522093 | + | 0.933217i | 0.0255364 | + | 0.0456451i | ||||
\(419\) | −0.683004 | + | 5.84347i | −0.0333669 | + | 0.285472i | 0.966245 | + | 0.257624i | \(0.0829396\pi\) |
−0.999612 | + | 0.0278483i | \(0.991134\pi\) | |||||||
\(420\) | 5.11847 | − | 7.68245i | 0.249756 | − | 0.374865i | ||||
\(421\) | 13.1203 | − | 19.9484i | 0.639442 | − | 0.972225i | −0.359789 | − | 0.933034i | \(-0.617151\pi\) |
0.999232 | − | 0.0391915i | \(-0.0124782\pi\) | |||||||
\(422\) | 17.8516 | + | 17.3044i | 0.869004 | + | 0.842367i | ||||
\(423\) | 6.02734 | + | 7.42042i | 0.293059 | + | 0.360793i | ||||
\(424\) | −9.96506 | + | 24.2673i | −0.483946 | + | 1.17852i | ||||
\(425\) | −4.62275 | + | 1.38396i | −0.224236 | + | 0.0671320i | ||||
\(426\) | 8.38457 | − | 0.552185i | 0.406234 | − | 0.0267534i | ||||
\(427\) | −18.1202 | − | 9.10032i | −0.876899 | − | 0.440395i | ||||
\(428\) | −12.9692 | + | 18.6025i | −0.626889 | + | 0.899185i | ||||
\(429\) | 11.5578 | + | 19.0771i | 0.558018 | + | 0.921051i | ||||
\(430\) | −2.82055 | − | 0.886158i | −0.136019 | − | 0.0427343i | ||||
\(431\) | 12.5985 | − | 21.8213i | 0.606850 | − | 1.05109i | −0.384907 | − | 0.922956i | \(-0.625766\pi\) |
0.991756 | − | 0.128139i | \(-0.0409003\pi\) | |||||||
\(432\) | −8.40813 | − | 19.0080i | −0.404536 | − | 0.914522i | ||||
\(433\) | −11.6207 | − | 20.1277i | −0.558456 | − | 0.967273i | −0.997626 | − | 0.0688694i | \(-0.978061\pi\) |
0.439170 | − | 0.898404i | \(-0.355273\pi\) | |||||||
\(434\) | 4.45845 | + | 20.0142i | 0.214012 | + | 0.960715i | ||||
\(435\) | 20.6737 | − | 8.02276i | 0.991229 | − | 0.384662i | ||||
\(436\) | 3.63282 | + | 7.74934i | 0.173980 | + | 0.371126i | ||||
\(437\) | 0.0163978 | + | 0.281539i | 0.000784413 | + | 0.0134679i | ||||
\(438\) | −14.4621 | + | 13.8531i | −0.691026 | + | 0.661927i | ||||
\(439\) | 7.95379 | − | 33.5597i | 0.379614 | − | 1.60172i | −0.362862 | − | 0.931843i | \(-0.618200\pi\) |
0.742476 | − | 0.669873i | \(-0.233651\pi\) | |||||||
\(440\) | −1.56996 | − | 11.6497i | −0.0748448 | − | 0.555380i | ||||
\(441\) | 8.58857 | − | 12.6151i | 0.408980 | − | 0.600721i | ||||
\(442\) | −30.4332 | + | 8.66436i | −1.44756 | + | 0.412122i | ||||
\(443\) | 1.54979 | + | 0.0902649i | 0.0736327 | + | 0.00428862i | 0.0949216 | − | 0.995485i | \(-0.469740\pi\) |
−0.0212889 | + | 0.999773i | \(0.506777\pi\) | |||||||
\(444\) | −6.12247 | + | 25.1655i | −0.290559 | + | 1.19430i | ||||
\(445\) | 3.84306 | + | 2.86105i | 0.182179 | + | 0.135627i | ||||
\(446\) | 16.9969 | − | 28.5409i | 0.804826 | − | 1.35145i | ||||
\(447\) | 0.840627 | + | 10.5800i | 0.0397603 | + | 0.500417i | ||||
\(448\) | 9.38165 | − | 5.86616i | 0.443241 | − | 0.277150i | ||||
\(449\) | −8.61675 | + | 1.51937i | −0.406650 | + | 0.0717033i | −0.373232 | − | 0.927738i | \(-0.621750\pi\) |
−0.0334180 | + | 0.999441i | \(0.510639\pi\) | |||||||
\(450\) | 1.72033 | − | 5.18481i | 0.0810970 | − | 0.244414i | ||||
\(451\) | −2.62815 | + | 14.9050i | −0.123755 | + | 0.701849i | ||||
\(452\) | 0.898908 | − | 33.2219i | 0.0422811 | − | 1.56263i | ||||
\(453\) | −0.184730 | − | 1.33535i | −0.00867937 | − | 0.0627403i | ||||
\(454\) | −5.36550 | − | 33.0361i | −0.251815 | − | 1.55046i | ||||
\(455\) | 15.4811 | − | 3.66910i | 0.725767 | − | 0.172010i | ||||
\(456\) | 0.618660 | − | 1.60202i | 0.0289714 | − | 0.0750214i | ||||
\(457\) | 0.228430 | − | 0.0266997i | 0.0106855 | − | 0.00124896i | −0.110748 | − | 0.993848i | \(-0.535325\pi\) |
0.121434 | + | 0.992600i | \(0.461251\pi\) | |||||||
\(458\) | −3.28086 | − | 4.53372i | −0.153305 | − | 0.211847i | ||||
\(459\) | −5.48888 | + | 18.6840i | −0.256199 | + | 0.872094i | ||||
\(460\) | 0.969145 | − | 2.94480i | 0.0451866 | − | 0.137302i | ||||
\(461\) | 6.99423 | − | 16.2145i | 0.325754 | − | 0.755183i | −0.674109 | − | 0.738632i | \(-0.735472\pi\) |
0.999863 | − | 0.0165508i | \(-0.00526852\pi\) | |||||||
\(462\) | 0.903389 | + | 7.25157i | 0.0420295 | + | 0.337373i | ||||
\(463\) | −11.4696 | + | 10.8210i | −0.533038 | + | 0.502895i | −0.905034 | − | 0.425339i | \(-0.860155\pi\) |
0.371996 | + | 0.928234i | \(0.378673\pi\) | |||||||
\(464\) | 26.5409 | + | 1.43732i | 1.23213 | + | 0.0667260i | ||||
\(465\) | −16.3576 | − | 30.9253i | −0.758568 | − | 1.43413i | ||||
\(466\) | −0.110343 | − | 0.265627i | −0.00511156 | − | 0.0123049i | ||||
\(467\) | 9.73486 | − | 11.6016i | 0.450476 | − | 0.536856i | −0.492237 | − | 0.870461i | \(-0.663821\pi\) |
0.942713 | + | 0.333605i | \(0.108265\pi\) | |||||||
\(468\) | 11.7397 | − | 33.8432i | 0.542667 | − | 1.56440i | ||||
\(469\) | 6.64568 | + | 7.92001i | 0.306869 | + | 0.365712i | ||||
\(470\) | 4.00156 | − | 7.70608i | 0.184578 | − | 0.355455i | ||||
\(471\) | 3.93680 | + | 15.1756i | 0.181398 | + | 0.699256i | ||||
\(472\) | 15.0602 | − | 2.92972i | 0.693204 | − | 0.134851i | ||||
\(473\) | 2.14896 | − | 0.926972i | 0.0988094 | − | 0.0426222i | ||||
\(474\) | 7.46808 | − | 13.1647i | 0.343020 | − | 0.604674i | ||||
\(475\) | 0.403350 | − | 0.202570i | 0.0185070 | − | 0.00929455i | ||||
\(476\) | −10.2603 | − | 1.48157i | −0.470281 | − | 0.0679075i | ||||
\(477\) | −3.67086 | + | 27.5818i | −0.168077 | + | 1.26288i | ||||
\(478\) | −0.586898 | − | 1.20911i | −0.0268441 | − | 0.0553036i | ||||
\(479\) | −16.4496 | + | 17.4356i | −0.751603 | + | 0.796653i | −0.984413 | − | 0.175870i | \(-0.943726\pi\) |
0.232811 | + | 0.972522i | \(0.425208\pi\) | |||||||
\(480\) | −12.7941 | + | 13.8817i | −0.583969 | + | 0.633611i | ||||
\(481\) | −37.2937 | + | 24.5284i | −1.70044 | + | 1.11840i | ||||
\(482\) | −35.6246 | − | 6.77961i | −1.62265 | − | 0.308803i | ||||
\(483\) | −0.620782 | + | 1.82453i | −0.0282466 | + | 0.0830190i | ||||
\(484\) | −9.50039 | − | 8.42000i | −0.431836 | − | 0.382727i | ||||
\(485\) | 1.91303 | 0.0868663 | ||||||||
\(486\) | −13.7555 | − | 17.2275i | −0.623961 | − | 0.781455i | ||||
\(487\) | 40.0079i | 1.81293i | 0.422280 | + | 0.906465i | \(0.361230\pi\) | ||||
−0.422280 | + | 0.906465i | \(0.638770\pi\) | |||||||
\(488\) | 33.6922 | + | 24.1730i | 1.52517 | + | 1.09426i | ||||
\(489\) | −16.7150 | − | 5.68715i | −0.755878 | − | 0.257182i | ||||
\(490\) | −13.6171 | − | 2.59144i | −0.615160 | − | 0.117069i | ||||
\(491\) | −21.6772 | − | 32.9585i | −0.978276 | − | 1.48740i | −0.869865 | − | 0.493291i | \(-0.835794\pi\) |
−0.108412 | − | 0.994106i | \(-0.534576\pi\) | |||||||
\(492\) | 21.1217 | − | 12.0279i | 0.952241 | − | 0.542260i | ||||
\(493\) | −18.1139 | − | 17.0896i | −0.815810 | − | 0.769677i | ||||
\(494\) | 2.66265 | − | 1.29244i | 0.119798 | − | 0.0581495i | ||||
\(495\) | −4.75506 | − | 11.5258i | −0.213724 | − | 0.518045i | ||||
\(496\) | −2.60875 | − | 41.8514i | −0.117136 | − | 1.87918i | ||||
\(497\) | 2.12934 | + | 4.23987i | 0.0955141 | + | 0.190184i | ||||
\(498\) | 9.59802 | − | 16.9193i | 0.430098 | − | 0.758174i | ||||
\(499\) | −6.39767 | − | 14.8315i | −0.286399 | − | 0.663947i | 0.712905 | − | 0.701261i | \(-0.247379\pi\) |
−0.999304 | + | 0.0373137i | \(0.988120\pi\) | |||||||
\(500\) | −24.1328 | + | 2.16091i | −1.07925 | + | 0.0966388i | ||||
\(501\) | 9.65655 | − | 2.50506i | 0.431423 | − | 0.111918i | ||||
\(502\) | 34.7847 | + | 18.0628i | 1.55252 | + | 0.806180i | ||||
\(503\) | −24.0216 | + | 20.1565i | −1.07107 | + | 0.898736i | −0.995149 | − | 0.0983777i | \(-0.968635\pi\) |
−0.0759227 | + | 0.997114i | \(0.524190\pi\) | |||||||
\(504\) | 8.03960 | − | 8.54958i | 0.358112 | − | 0.380829i | ||||
\(505\) | 6.20751 | + | 5.20872i | 0.276231 | + | 0.231785i | ||||
\(506\) | 0.941458 | + | 2.26635i | 0.0418529 | + | 0.100751i | ||||
\(507\) | 34.6693 | − | 18.3380i | 1.53972 | − | 0.814420i | ||||
\(508\) | 2.45721 | − | 9.24575i | 0.109021 | − | 0.410214i | ||||
\(509\) | 3.66748 | + | 3.88731i | 0.162558 | + | 0.172302i | 0.803533 | − | 0.595260i | \(-0.202951\pi\) |
−0.640975 | + | 0.767562i | \(0.721470\pi\) | |||||||
\(510\) | 17.5519 | − | 2.18658i | 0.777209 | − | 0.0968235i | ||||
\(511\) | −10.3830 | − | 4.47879i | −0.459317 | − | 0.198130i | ||||
\(512\) | −20.8247 | + | 8.85046i | −0.920332 | + | 0.391139i | ||||
\(513\) | 0.202138 | − | 1.81025i | 0.00892459 | − | 0.0799243i | ||||
\(514\) | −20.5594 | − | 28.4104i | −0.906836 | − | 1.25313i | ||||
\(515\) | 4.08210 | + | 34.9246i | 0.179879 | + | 1.53896i | ||||
\(516\) | −3.34870 | − | 1.70677i | −0.147418 | − | 0.0751363i | ||||
\(517\) | 1.58516 | + | 6.68830i | 0.0697151 | + | 0.294151i | ||||
\(518\) | −14.4348 | + | 2.34441i | −0.634231 | + | 0.103007i | ||||
\(519\) | −15.6273 | + | 2.16184i | −0.685961 | + | 0.0948944i | ||||
\(520\) | −32.4428 | + | 2.46319i | −1.42271 | + | 0.108018i | ||||
\(521\) | −8.17501 | − | 1.44147i | −0.358154 | − | 0.0631522i | −0.00832369 | − | 0.999965i | \(-0.502650\pi\) |
−0.349830 | + | 0.936813i | \(0.613761\pi\) | |||||||
\(522\) | 27.6119 | − | 5.69006i | 1.20854 | − | 0.249047i | ||||
\(523\) | −6.13853 | − | 34.8133i | −0.268419 | − | 1.52228i | −0.759119 | − | 0.650952i | \(-0.774370\pi\) |
0.490700 | − | 0.871329i | \(-0.336741\pi\) | |||||||
\(524\) | −34.2189 | + | 5.08358i | −1.49486 | + | 0.222077i | ||||
\(525\) | 3.07482 | − | 0.244308i | 0.134196 | − | 0.0106625i | ||||
\(526\) | −5.63591 | − | 3.35634i | −0.245738 | − | 0.146343i | ||||
\(527\) | −23.4609 | + | 31.5135i | −1.02197 | + | 1.37275i | ||||
\(528\) | 0.492949 | − | 14.9361i | 0.0214529 | − | 0.650008i | ||||
\(529\) | 1.29970 | − | 22.3150i | 0.0565086 | − | 0.970216i | ||||
\(530\) | 24.3071 | − | 6.92026i | 1.05583 | − | 0.300597i | ||||
\(531\) | 14.6570 | − | 7.07044i | 0.636059 | − | 0.306831i | ||||
\(532\) | 0.969204 | − | 0.0301777i | 0.0420203 | − | 0.00130837i | ||||
\(533\) | 40.7619 | + | 9.66075i | 1.76559 | + | 0.418454i | ||||
\(534\) | 4.21334 | + | 4.39856i | 0.182329 | + | 0.190344i | ||||
\(535\) | 21.8097 | − | 1.27027i | 0.942918 | − | 0.0549187i | ||||
\(536\) | −10.8922 | − | 18.1215i | −0.470470 | − | 0.782731i | ||||
\(537\) | −5.10320 | − | 13.1503i | −0.220219 | − | 0.567479i | ||||
\(538\) | 2.78145 | + | 12.4861i | 0.119917 | + | 0.538313i | ||||
\(539\) | 9.50278 | − | 5.48643i | 0.409314 | − | 0.236317i | ||||
\(540\) | −9.37618 | + | 17.6926i | −0.403487 | + | 0.761368i | ||||
\(541\) | −10.7547 | − | 6.20920i | −0.462379 | − | 0.266955i | 0.250665 | − | 0.968074i | \(-0.419351\pi\) |
−0.713044 | + | 0.701119i | \(0.752684\pi\) | |||||||
\(542\) | −6.46616 | + | 20.5811i | −0.277745 | + | 0.884036i | ||||
\(543\) | 17.1515 | − | 10.3912i | 0.736040 | − | 0.445929i | ||||
\(544\) | 20.2511 | + | 6.27192i | 0.868260 | + | 0.268906i | ||||
\(545\) | 3.70043 | − | 7.36817i | 0.158509 | − | 0.315618i | ||||
\(546\) | 20.1826 | − | 1.32917i | 0.863736 | − | 0.0568833i | ||||
\(547\) | 9.25192 | + | 30.9036i | 0.395583 | + | 1.32134i | 0.891520 | + | 0.452982i | \(0.149640\pi\) |
−0.495936 | + | 0.868359i | \(0.665175\pi\) | |||||||
\(548\) | −13.6416 | + | 25.4239i | −0.582742 | + | 1.08606i | ||||
\(549\) | 41.0845 | + | 15.7004i | 1.75344 | + | 0.670076i | ||||
\(550\) | 2.73377 | − | 2.82022i | 0.116569 | − | 0.120255i | ||||
\(551\) | 1.94616 | + | 1.28001i | 0.0829091 | + | 0.0545302i | ||||
\(552\) | 1.83705 | − | 3.48693i | 0.0781900 | − | 0.148413i | ||||
\(553\) | 8.48831 | + | 0.992142i | 0.360960 | + | 0.0421902i | ||||
\(554\) | −22.2840 | − | 39.8317i | −0.946757 | − | 1.69228i | ||||
\(555\) | 22.6968 | − | 10.3641i | 0.963427 | − | 0.439930i | ||||
\(556\) | −15.7751 | + | 12.5257i | −0.669014 | + | 0.531207i | ||||
\(557\) | 22.7206 | + | 8.26964i | 0.962704 | + | 0.350396i | 0.775093 | − | 0.631848i | \(-0.217703\pi\) |
0.187612 | + | 0.982243i | \(0.439925\pi\) | |||||||
\(558\) | −13.9731 | − | 42.2243i | −0.591531 | − | 1.78750i | ||||
\(559\) | −2.21553 | − | 6.08711i | −0.0937068 | − | 0.257457i | ||||
\(560\) | −10.0314 | − | 3.60491i | −0.423905 | − | 0.152335i | ||||
\(561\) | −9.39132 | + | 10.3849i | −0.396502 | + | 0.438451i | ||||
\(562\) | 14.9591 | − | 12.2112i | 0.631010 | − | 0.515099i | ||||
\(563\) | 27.2108 | + | 8.14638i | 1.14680 | + | 0.343329i | 0.803155 | − | 0.595771i | \(-0.203153\pi\) |
0.343645 | + | 0.939100i | \(0.388338\pi\) | |||||||
\(564\) | 6.64441 | − | 8.81517i | 0.279780 | − | 0.371185i | ||||
\(565\) | −25.6816 | + | 19.1193i | −1.08043 | + | 0.804353i | ||||
\(566\) | 0.348502 | + | 3.37716i | 0.0146486 | + | 0.141953i | ||||
\(567\) | 5.93865 | − | 10.9398i | 0.249400 | − | 0.459428i | ||||
\(568\) | −2.94591 | − | 9.24461i | −0.123608 | − | 0.387895i | ||||
\(569\) | −25.2805 | + | 18.8207i | −1.05982 | + | 0.789003i | −0.978201 | − | 0.207661i | \(-0.933415\pi\) |
−0.0816142 | + | 0.996664i | \(0.526008\pi\) | |||||||
\(570\) | −1.58129 | + | 0.486506i | −0.0662329 | + | 0.0203775i | ||||
\(571\) | −7.77185 | + | 25.9598i | −0.325242 | + | 1.08638i | 0.626484 | + | 0.779434i | \(0.284493\pi\) |
−0.951726 | + | 0.306949i | \(0.900692\pi\) | |||||||
\(572\) | 18.1749 | − | 18.2492i | 0.759932 | − | 0.763035i | ||||
\(573\) | −7.84863 | − | 1.68601i | −0.327881 | − | 0.0704341i | ||||
\(574\) | 10.8968 | + | 8.34377i | 0.454823 | + | 0.348262i | ||||
\(575\) | 0.973397 | − | 0.354288i | 0.0405935 | − | 0.0147748i | ||||
\(576\) | −18.9716 | + | 14.6996i | −0.790483 | + | 0.612484i | ||||
\(577\) | 10.5202 | + | 3.82904i | 0.437962 | + | 0.159405i | 0.551585 | − | 0.834119i | \(-0.314023\pi\) |
−0.113623 | + | 0.993524i | \(0.536246\pi\) | |||||||
\(578\) | 2.24884 | + | 3.52204i | 0.0935393 | + | 0.146498i | ||||
\(579\) | 41.0492 | + | 3.92160i | 1.70595 | + | 0.162976i | ||||
\(580\) | −14.7300 | − | 20.9456i | −0.611629 | − | 0.869719i | ||||
\(581\) | 10.9092 | + | 1.27511i | 0.452591 | + | 0.0529003i | ||||
\(582\) | 2.39822 | + | 0.404140i | 0.0994094 | + | 0.0167522i | ||||
\(583\) | −10.9936 | + | 16.7150i | −0.455309 | + | 0.692263i | ||||
\(584\) | 19.5410 | + | 12.3652i | 0.808612 | + | 0.511675i | ||||
\(585\) | −32.6128 | + | 11.2841i | −1.34837 | + | 0.466540i | ||||
\(586\) | 12.3777 | − | 18.2760i | 0.511316 | − | 0.754976i | ||||
\(587\) | 18.6928 | − | 5.59624i | 0.771533 | − | 0.230982i | 0.123244 | − | 0.992376i | \(-0.460670\pi\) |
0.648289 | + | 0.761395i | \(0.275485\pi\) | |||||||
\(588\) | −16.5233 | − | 6.12540i | −0.681410 | − | 0.252607i | ||||
\(589\) | 1.64927 | − | 3.28396i | 0.0679569 | − | 0.135313i | ||||
\(590\) | −11.1932 | − | 9.65314i | −0.460815 | − | 0.397414i | ||||
\(591\) | 13.0121 | − | 23.6782i | 0.535245 | − | 0.973991i | ||||
\(592\) | 29.9060 | − | 0.121881i | 1.22913 | − | 0.00500927i | ||||
\(593\) | 31.4683 | + | 18.1682i | 1.29225 | + | 0.746080i | 0.979052 | − | 0.203608i | \(-0.0652670\pi\) |
0.313196 | + | 0.949688i | \(0.398600\pi\) | |||||||
\(594\) | −3.52616 | − | 15.4535i | −0.144680 | − | 0.634065i | ||||
\(595\) | 4.99356 | + | 8.64910i | 0.204716 | + | 0.354579i | ||||
\(596\) | 11.6253 | − | 3.87851i | 0.476191 | − | 0.158870i | ||||
\(597\) | 13.6554 | + | 2.11164i | 0.558877 | + | 0.0864236i | ||||
\(598\) | 6.41379 | − | 2.23666i | 0.262279 | − | 0.0914639i | ||||
\(599\) | −0.956212 | − | 16.4175i | −0.0390698 | − | 0.670802i | −0.959814 | − | 0.280636i | \(-0.909455\pi\) |
0.920745 | − | 0.390166i | \(-0.127582\pi\) | |||||||
\(600\) | −6.28886 | − | 0.489276i | −0.256741 | − | 0.0199746i | ||||
\(601\) | 3.90803 | + | 0.926219i | 0.159412 | + | 0.0377813i | 0.309547 | − | 0.950884i | \(-0.399823\pi\) |
−0.150135 | + | 0.988666i | \(0.547971\pi\) | |||||||
\(602\) | 0.152042 | − | 2.11679i | 0.00619675 | − | 0.0862741i | ||||
\(603\) | −16.0642 | − | 15.6477i | −0.654183 | − | 0.637224i | ||||
\(604\) | −1.44546 | + | 0.577659i | −0.0588151 | + | 0.0235046i | ||||
\(605\) | −0.711098 | + | 12.2091i | −0.0289103 | + | 0.496370i | ||||
\(606\) | 6.68150 | + | 7.84115i | 0.271418 | + | 0.318525i | ||||
\(607\) | −25.3561 | − | 18.8769i | −1.02917 | − | 0.766189i | −0.0565055 | − | 0.998402i | \(-0.517996\pi\) |
−0.972665 | + | 0.232213i | \(0.925403\pi\) | |||||||
\(608\) | −1.96732 | − | 0.248814i | −0.0797855 | − | 0.0100907i | ||||
\(609\) | 9.02612 | + | 13.1121i | 0.365757 | + | 0.531327i | ||||
\(610\) | −1.78319 | − | 39.9086i | −0.0721991 | − | 1.61585i | ||||
\(611\) | 18.7360 | − | 3.30366i | 0.757976 | − | 0.133652i | ||||
\(612\) | 22.4653 | + | 0.966794i | 0.908107 | + | 0.0390803i | ||||
\(613\) | 13.3006 | + | 2.34526i | 0.537207 | + | 0.0947242i | 0.435668 | − | 0.900107i | \(-0.356512\pi\) |
0.101539 | + | 0.994832i | \(0.467623\pi\) | |||||||
\(614\) | 2.70883 | − | 20.7388i | 0.109319 | − | 0.836951i | ||||
\(615\) | −21.6922 | − | 8.81878i | −0.874713 | − | 0.355608i | ||||
\(616\) | 7.87721 | − | 3.02511i | 0.317382 | − | 0.121885i | ||||
\(617\) | −3.05071 | − | 12.8719i | −0.122817 | − | 0.518205i | −0.999322 | − | 0.0368129i | \(-0.988279\pi\) |
0.876505 | − | 0.481392i | \(-0.159869\pi\) | |||||||
\(618\) | −2.26064 | + | 44.6447i | −0.0909362 | + | 1.79587i | ||||
\(619\) | 40.5059 | − | 4.73447i | 1.62807 | − | 0.190294i | 0.747518 | − | 0.664242i | \(-0.231245\pi\) |
0.880553 | + | 0.473947i | \(0.157171\pi\) | |||||||
\(620\) | −30.1229 | + | 26.9173i | −1.20976 | + | 1.08102i | ||||
\(621\) | 0.943076 | − | 4.07255i | 0.0378443 | − | 0.163426i | ||||
\(622\) | 12.2606 | + | 5.48656i | 0.491605 | + | 0.219991i | ||||
\(623\) | −1.36220 | + | 3.15793i | −0.0545752 | + | 0.126520i | ||||
\(624\) | −41.1914 | − | 3.76584i | −1.64897 | − | 0.150754i | ||||
\(625\) | 11.6004 | + | 12.2957i | 0.464014 | + | 0.491826i | ||||
\(626\) | 0.798917 | − | 2.10594i | 0.0319311 | − | 0.0841701i | ||||
\(627\) | 0.696413 | − | 1.10915i | 0.0278121 | − | 0.0442953i | ||||
\(628\) | 15.9170 | − | 8.62430i | 0.635159 | − | 0.344147i | ||||
\(629\) | −21.4644 | − | 18.0108i | −0.855843 | − | 0.718137i | ||||
\(630\) | −11.2627 | − | 0.989830i | −0.448717 | − | 0.0394358i | ||||
\(631\) | −17.7129 | − | 21.1094i | −0.705138 | − | 0.840351i | 0.287960 | − | 0.957643i | \(-0.407023\pi\) |
−0.993097 | + | 0.117292i | \(0.962579\pi\) | |||||||
\(632\) | −16.8283 | − | 4.71698i | −0.669394 | − | 0.187631i | ||||
\(633\) | 8.11539 | − | 29.3484i | 0.322558 | − | 1.16649i | ||||
\(634\) | −0.474577 | + | 35.0853i | −0.0188479 | + | 1.39342i | ||||
\(635\) | −8.46263 | + | 3.65042i | −0.335829 | + | 0.144863i | ||||
\(636\) | 31.9339 | − | 3.54036i | 1.26626 | − | 0.140384i | ||||
\(637\) | −13.6305 | − | 27.1406i | −0.540062 | − | 1.07535i | ||||
\(638\) | 19.6588 | + | 4.94097i | 0.778298 | + | 0.195615i | ||||
\(639\) | −5.51719 | − | 8.68732i | −0.218257 | − | 0.343665i | ||||
\(640\) | 19.1101 | + | 10.4877i | 0.755395 | + | 0.414562i | ||||
\(641\) | −3.40042 | − | 3.20813i | −0.134309 | − | 0.126714i | 0.616156 | − | 0.787624i | \(-0.288689\pi\) |
−0.750465 | + | 0.660910i | \(0.770170\pi\) | |||||||
\(642\) | 27.6095 | + | 3.01501i | 1.08966 | + | 0.118993i | ||||
\(643\) | −27.4627 | + | 18.0625i | −1.08302 | + | 0.712315i | −0.959975 | − | 0.280086i | \(-0.909637\pi\) |
−0.123047 | + | 0.992401i | \(0.539267\pi\) | |||||||
\(644\) | 2.21731 | + | 0.189438i | 0.0873744 | + | 0.00746490i | ||||
\(645\) | 0.703901 | + | 3.55186i | 0.0277161 | + | 0.139854i | ||||
\(646\) | 1.25658 | + | 1.36852i | 0.0494396 | + | 0.0538436i | ||||
\(647\) | −17.0302 | −0.669524 | −0.334762 | − | 0.942303i | \(-0.608656\pi\) | ||||
−0.334762 | + | 0.942303i | \(0.608656\pi\) | |||||||
\(648\) | −15.4919 | + | 20.1991i | −0.608578 | + | 0.793494i | ||||
\(649\) | 11.7005 | 0.459285 | ||||||||
\(650\) | −7.35275 | − | 8.00773i | −0.288399 | − | 0.314089i | ||||
\(651\) | 18.8928 | − | 16.5449i | 0.740466 | − | 0.648447i | ||||
\(652\) | −1.73549 | + | 20.3134i | −0.0679670 | + | 0.795534i | ||||
\(653\) | −4.24743 | + | 2.79358i | −0.166215 | + | 0.109321i | −0.629891 | − | 0.776684i | \(-0.716900\pi\) |
0.463676 | + | 0.886005i | \(0.346530\pi\) | |||||||
\(654\) | 6.19552 | − | 8.45517i | 0.242264 | − | 0.330623i | ||||
\(655\) | 24.2417 | + | 22.8708i | 0.947200 | + | 0.893637i | ||||
\(656\) | −19.3435 | − | 20.3362i | −0.755236 | − | 0.793995i | ||||
\(657\) | 23.3817 | + | 7.40856i | 0.912208 | + | 0.289036i | ||||
\(658\) | 6.04497 | + | 1.51932i | 0.235657 | + | 0.0592293i | ||||
\(659\) | 17.3144 | + | 34.4758i | 0.674473 | + | 1.34299i | 0.926877 | + | 0.375365i | \(0.122483\pi\) |
−0.252404 | + | 0.967622i | \(0.581221\pi\) | |||||||
\(660\) | −11.5990 | + | 8.52850i | −0.451490 | + | 0.331972i | ||||
\(661\) | −41.4933 | + | 17.8984i | −1.61390 | + | 0.696169i | −0.995938 | − | 0.0900386i | \(-0.971301\pi\) |
−0.617963 | + | 0.786208i | \(0.712042\pi\) | |||||||
\(662\) | −0.0531221 | + | 3.92729i | −0.00206465 | + | 0.152639i | ||||
\(663\) | 27.1837 | + | 27.6210i | 1.05573 | + | 1.07271i | ||||
\(664\) | −21.6278 | − | 6.06229i | −0.839323 | − | 0.235263i | ||||
\(665\) | −0.600470 | − | 0.715612i | −0.0232852 | − | 0.0277502i | ||||
\(666\) | 30.6428 | − | 8.19776i | 1.18738 | − | 0.317657i | ||||
\(667\) | 4.09518 | + | 3.43626i | 0.158566 | + | 0.133053i | ||||
\(668\) | −5.48781 | − | 10.1283i | −0.212330 | − | 0.391877i | ||||
\(669\) | −40.6564 | − | 1.50772i | −1.57187 | − | 0.0582918i | ||||
\(670\) | −7.22479 | + | 19.0445i | −0.279118 | + | 0.735752i | ||||
\(671\) | 21.7012 | + | 23.0020i | 0.837767 | + | 0.887981i | ||||
\(672\) | −11.8141 | − | 6.63840i | −0.455738 | − | 0.256082i | ||||
\(673\) | −1.48651 | + | 3.44611i | −0.0573006 | + | 0.132838i | −0.944461 | − | 0.328623i | \(-0.893415\pi\) |
0.887160 | + | 0.461461i | \(0.152675\pi\) | |||||||
\(674\) | −4.47922 | − | 2.00443i | −0.172533 | − | 0.0772077i | ||||
\(675\) | −6.58278 | + | 1.19573i | −0.253371 | + | 0.0460236i | ||||
\(676\) | −30.1761 | − | 33.7698i | −1.16062 | − | 1.29884i | ||||
\(677\) | −29.6255 | + | 3.46273i | −1.13860 | + | 0.133083i | −0.664431 | − | 0.747350i | \(-0.731326\pi\) |
−0.474170 | + | 0.880433i | \(0.657252\pi\) | |||||||
\(678\) | −36.2341 | + | 18.5429i | −1.39156 | + | 0.712137i | ||||
\(679\) | 0.316688 | + | 1.33621i | 0.0121534 | + | 0.0512791i | ||||
\(680\) | −7.32205 | − | 19.0662i | −0.280788 | − | 0.731155i | ||||
\(681\) | −32.3558 | + | 25.1667i | −1.23988 | + | 0.964390i | ||||
\(682\) | 4.14173 | − | 31.7092i | 0.158595 | − | 1.21421i | ||||
\(683\) | 32.5075 | + | 5.73195i | 1.24386 | + | 0.219327i | 0.756571 | − | 0.653911i | \(-0.226873\pi\) |
0.487294 | + | 0.873238i | \(0.337984\pi\) | |||||||
\(684\) | −2.08512 | + | 0.275837i | −0.0797265 | + | 0.0105469i | ||||
\(685\) | 27.3737 | − | 4.82672i | 1.04590 | − | 0.184420i | ||||
\(686\) | −1.05532 | − | 23.6185i | −0.0402922 | − | 0.901758i | ||||
\(687\) | −2.94611 | + | 6.18857i | −0.112401 | + | 0.236109i | ||||
\(688\) | −0.983660 | + | 4.22708i | −0.0375017 | + | 0.161156i | ||||
\(689\) | 44.4169 | + | 33.0671i | 1.69215 | + | 1.25976i | ||||
\(690\) | −3.73413 | + | 0.687670i | −0.142156 | + | 0.0261792i | ||||
\(691\) | 1.21877 | − | 20.9254i | 0.0463640 | − | 0.796040i | −0.892350 | − | 0.451344i | \(-0.850945\pi\) |
0.938714 | − | 0.344696i | \(-0.112018\pi\) | |||||||
\(692\) | 6.76019 | + | 16.9159i | 0.256984 | + | 0.643045i | ||||
\(693\) | 7.26335 | − | 5.22932i | 0.275912 | − | 0.198645i | ||||
\(694\) | −0.629681 | + | 8.76671i | −0.0239023 | + | 0.332780i | ||||
\(695\) | 18.8825 | + | 4.47523i | 0.716253 | + | 0.169755i | ||||
\(696\) | −14.0409 | − | 29.3697i | −0.532220 | − | 1.11326i | ||||
\(697\) | 1.52899 | + | 26.2517i | 0.0579145 | + | 0.994353i | ||||
\(698\) | −20.3215 | + | 7.08666i | −0.769181 | + | 0.268234i | ||||
\(699\) | −0.220693 | + | 0.274580i | −0.00834738 | + | 0.0103856i | ||||
\(700\) | −1.12720 | − | 3.37861i | −0.0426040 | − | 0.127699i | ||||
\(701\) | −5.28554 | − | 9.15483i | −0.199632 | − | 0.345773i | 0.748777 | − | 0.662822i | \(-0.230641\pi\) |
−0.948409 | + | 0.317049i | \(0.897308\pi\) | |||||||
\(702\) | −43.2680 | + | 7.25633i | −1.63305 | + | 0.273872i | ||||
\(703\) | 2.26976 | + | 1.31044i | 0.0856055 | + | 0.0494243i | ||||
\(704\) | −16.8779 | + | 3.59272i | −0.636110 | + | 0.135406i | ||||
\(705\) | −10.6322 | + | 0.224481i | −0.400432 | + | 0.00845446i | ||||
\(706\) | −9.24433 | − | 7.97244i | −0.347915 | − | 0.300047i | ||||
\(707\) | −2.61058 | + | 5.19808i | −0.0981808 | + | 0.195494i | ||||
\(708\) | −11.9927 | − | 14.4660i | −0.450714 | − | 0.543667i | ||||
\(709\) | 13.8827 | − | 4.15621i | 0.521376 | − | 0.156090i | −0.0152922 | − | 0.999883i | \(-0.504868\pi\) |
0.536668 | + | 0.843793i | \(0.319683\pi\) | |||||||
\(710\) | −5.24161 | + | 7.73941i | −0.196714 | + | 0.290455i | ||||
\(711\) | −18.5347 | − | 0.295788i | −0.695105 | − | 0.0110929i | ||||
\(712\) | 3.76079 | − | 5.94327i | 0.140942 | − | 0.222733i | ||||
\(713\) | 4.63442 | − | 7.04629i | 0.173560 | − | 0.263885i | ||||
\(714\) | 4.43286 | + | 11.8976i | 0.165896 | + | 0.445258i | ||||
\(715\) | −24.6448 | − | 2.88057i | −0.921665 | − | 0.107727i | ||||
\(716\) | −13.3233 | + | 9.36958i | −0.497915 | + | 0.350158i | ||||
\(717\) | −0.954886 | + | 1.34082i | −0.0356609 | + | 0.0500739i | ||||
\(718\) | −11.8012 | − | 18.4826i | −0.440416 | − | 0.689763i | ||||
\(719\) | 47.4951 | + | 17.2868i | 1.77127 | + | 0.644689i | 0.999966 | + | 0.00821951i | \(0.00261638\pi\) |
0.771302 | + | 0.636469i | \(0.219606\pi\) | |||||||
\(720\) | 22.4330 | + | 5.59904i | 0.836028 | + | 0.208664i | ||||
\(721\) | −23.7184 | + | 8.63278i | −0.883318 | + | 0.321502i | ||||
\(722\) | 21.1961 | + | 16.2301i | 0.788838 | + | 0.604021i | ||||
\(723\) | 13.6334 | + | 42.2698i | 0.507031 | + | 1.57203i | ||||
\(724\) | −16.4071 | − | 16.3404i | −0.609765 | − | 0.607285i | ||||
\(725\) | 2.45387 | − | 8.19650i | 0.0911345 | − | 0.304410i | ||||
\(726\) | −3.47070 | + | 15.1554i | −0.128810 | + | 0.562468i | ||||
\(727\) | 9.52042 | − | 7.08769i | 0.353093 | − | 0.262868i | −0.405968 | − | 0.913887i | \(-0.633066\pi\) |
0.759061 | + | 0.651019i | \(0.225658\pi\) | |||||||
\(728\) | −7.09114 | − | 22.2528i | −0.262815 | − | 0.824745i | ||||
\(729\) | −10.4381 | + | 24.9007i | −0.386596 | + | 0.922249i | ||||
\(730\) | −2.28679 | − | 22.1601i | −0.0846378 | − | 0.820184i | ||||
\(731\) | 3.26165 | − | 2.42821i | 0.120636 | − | 0.0898104i | ||||
\(732\) | 6.19550 | − | 50.4070i | 0.228992 | − | 1.86310i | ||||
\(733\) | −27.8679 | − | 8.34312i | −1.02933 | − | 0.308160i | −0.272763 | − | 0.962081i | \(-0.587938\pi\) |
−0.756563 | + | 0.653921i | \(0.773123\pi\) | |||||||
\(734\) | −24.4715 | + | 19.9763i | −0.903261 | + | 0.737339i | ||||
\(735\) | 5.21123 | + | 16.1572i | 0.192219 | + | 0.595969i | ||||
\(736\) | −4.41817 | − | 1.09132i | −0.162856 | − | 0.0402267i | ||||
\(737\) | −5.51476 | − | 15.1517i | −0.203139 | − | 0.558119i | ||||
\(738\) | −25.3308 | − | 15.6380i | −0.932439 | − | 0.575644i | ||||
\(739\) | −1.07133 | − | 0.389931i | −0.0394094 | − | 0.0143439i | 0.322240 | − | 0.946658i | \(-0.395564\pi\) |
−0.361650 | + | 0.932314i | \(0.617786\pi\) | |||||||
\(740\) | −17.9157 | − | 22.5634i | −0.658594 | − | 0.829448i | ||||
\(741\) | −2.95269 | − | 2.10280i | −0.108470 | − | 0.0772484i | ||||
\(742\) | 8.85752 | + | 15.8324i | 0.325170 | + | 0.581226i | ||||
\(743\) | 27.7108 | + | 3.23893i | 1.01661 | + | 0.118825i | 0.608044 | − | 0.793903i | \(-0.291954\pi\) |
0.408568 | + | 0.912728i | \(0.366028\pi\) | |||||||
\(744\) | −43.4492 | + | 27.3805i | −1.59292 | + | 1.00382i | ||||
\(745\) | −9.86415 | − | 6.48775i | −0.361394 | − | 0.237693i | ||||
\(746\) | −8.94157 | + | 9.22431i | −0.327374 | + | 0.337726i | ||||
\(747\) | −23.8209 | − | 0.380149i | −0.871561 | − | 0.0139089i | ||||
\(748\) | 14.2463 | + | 7.64413i | 0.520898 | + | 0.279497i | ||||
\(749\) | 4.49770 | + | 15.0234i | 0.164342 | + | 0.548942i | ||||
\(750\) | 16.4941 | + | 24.6685i | 0.602281 | + | 0.900768i | ||||
\(751\) | −17.6011 | + | 35.0467i | −0.642275 | + | 1.27887i | 0.303122 | + | 0.952952i | \(0.401971\pi\) |
−0.945397 | + | 0.325922i | \(0.894325\pi\) | |||||||
\(752\) | −11.7245 | − | 5.00090i | −0.427550 | − | 0.182364i | ||||
\(753\) | −1.01329 | − | 47.9930i | −0.0369264 | − | 1.74896i | ||||
\(754\) | 16.8165 | − | 53.5251i | 0.612420 | − | 1.94927i | ||||
\(755\) | 1.29871 | + | 0.749808i | 0.0472647 | + | 0.0272883i | ||||
\(756\) | −13.9101 | − | 3.62019i | −0.505904 | − | 0.131665i | ||||
\(757\) | 33.2352 | − | 19.1884i | 1.20796 | − | 0.697413i | 0.245643 | − | 0.969360i | \(-0.421001\pi\) |
0.962312 | + | 0.271947i | \(0.0876676\pi\) | |||||||
\(758\) | −1.65444 | − | 7.42688i | −0.0600920 | − | 0.269757i | ||||
\(759\) | 1.88297 | − | 2.34274i | 0.0683475 | − | 0.0850360i | ||||
\(760\) | 0.984160 | + | 1.63737i | 0.0356993 | + | 0.0593937i | ||||
\(761\) | 49.3182 | − | 2.87246i | 1.78778 | − | 0.104127i | 0.868004 | − | 0.496558i | \(-0.165403\pi\) |
0.919781 | + | 0.392431i | \(0.128366\pi\) | |||||||
\(762\) | −11.3801 | + | 2.78847i | −0.412258 | + | 0.101015i | ||||
\(763\) | 5.75909 | + | 1.36493i | 0.208493 | + | 0.0494138i | ||||
\(764\) | 0.288483 | + | 9.26507i | 0.0104369 | + | 0.335198i | ||||
\(765\) | −12.6572 | − | 17.5804i | −0.457621 | − | 0.635620i | ||||
\(766\) | 29.8170 | − | 8.48893i | 1.07733 | − | 0.306717i | ||||
\(767\) | 1.88303 | − | 32.3303i | 0.0679922 | − | 1.16738i | ||||
\(768\) | 21.7413 | + | 17.1847i | 0.784522 | + | 0.620100i | ||||
\(769\) | −32.0679 | + | 43.0746i | −1.15640 | + | 1.55331i | −0.377678 | + | 0.925937i | \(0.623277\pi\) |
−0.778719 | + | 0.627373i | \(0.784130\pi\) | |||||||
\(770\) | −6.98441 | − | 4.15941i | −0.251701 | − | 0.149895i | ||||
\(771\) | −18.4617 | + | 38.7804i | −0.664882 | + | 1.39664i | ||||
\(772\) | −6.99697 | − | 47.0985i | −0.251827 | − | 1.69511i | ||||
\(773\) | 0.0807127 | + | 0.457745i | 0.00290303 | + | 0.0164639i | 0.986225 | − | 0.165410i | \(-0.0528948\pi\) |
−0.983322 | + | 0.181874i | \(0.941784\pi\) | |||||||
\(774\) | 0.132073 | + | 4.60140i | 0.00474725 | + | 0.165394i | ||||
\(775\) | −13.2929 | − | 2.34390i | −0.477496 | − | 0.0841953i | ||||
\(776\) | −0.212603 | − | 2.80021i | −0.00763201 | − | 0.100522i | ||||
\(777\) | 10.9964 | + | 14.1376i | 0.394493 | + | 0.507183i | ||||
\(778\) | 43.3233 | − | 7.03628i | 1.55322 | − | 0.252263i | ||||
\(779\) | −0.567237 | − | 2.39336i | −0.0203234 | − | 0.0857511i | ||||
\(780\) | 21.6989 | + | 33.4224i | 0.776946 | + | 1.19671i | ||||
\(781\) | −0.859018 | − | 7.34937i | −0.0307381 | − | 0.262981i | ||||
\(782\) | 2.49973 | + | 3.45429i | 0.0893901 | + | 0.123525i | ||||
\(783\) | −22.3303 | − | 26.3354i | −0.798018 | − | 0.941149i | ||||
\(784\) | −2.27991 | + | 20.2202i | −0.0814253 | + | 0.722149i | ||||
\(785\) | −16.0141 | − | 6.90779i | −0.571566 | − | 0.246550i | ||||
\(786\) | 25.5583 | + | 33.7926i | 0.911634 | + | 1.20534i | ||||
\(787\) | 10.0980 | + | 10.7032i | 0.359953 | + | 0.381528i | 0.881889 | − | 0.471456i | \(-0.156272\pi\) |
−0.521936 | + | 0.852985i | \(0.674790\pi\) | |||||||
\(788\) | −30.1510 | − | 8.01313i | −1.07409 | − | 0.285456i | ||||
\(789\) | −0.297726 | + | 8.02834i | −0.0105993 | + | 0.285816i | ||||
\(790\) | 6.45905 | + | 15.5487i | 0.229803 | + | 0.553198i | ||||
\(791\) | −17.6058 | − | 14.7730i | −0.625991 | − | 0.525268i | ||||
\(792\) | −16.3425 | + | 8.24116i | −0.580704 | + | 0.292837i | ||||
\(793\) | 67.0506 | − | 56.2621i | 2.38104 | − | 1.99793i | ||||
\(794\) | 13.8723 | + | 7.20350i | 0.492309 | + | 0.255643i | ||||
\(795\) | −21.7117 | − | 22.0610i | −0.770036 | − | 0.782423i | ||||
\(796\) | −1.42298 | − | 15.8917i | −0.0504362 | − | 0.563266i | ||||
\(797\) | −17.2287 | − | 39.9405i | −0.610271 | − | 1.41477i | −0.890567 | − | 0.454853i | \(-0.849692\pi\) |
0.280296 | − | 0.959914i | \(-0.409567\pi\) | |||||||
\(798\) | −0.601585 | − | 1.02396i | −0.0212959 | − | 0.0362478i | ||||
\(799\) | 5.35978 | + | 10.6722i | 0.189615 | + | 0.377555i | ||||
\(800\) | 1.19696 | + | 7.18467i | 0.0423189 | + | 0.254016i | ||||
\(801\) | 2.25327 | − | 7.11140i | 0.0796153 | − | 0.251269i | ||||
\(802\) | −11.8360 | + | 5.74514i | −0.417944 | + | 0.202868i | ||||
\(803\) | 12.8274 | + | 12.1020i | 0.452669 | + | 0.427071i | ||||
\(804\) | −13.0804 | + | 22.3483i | −0.461311 | + | 0.788164i | ||||
\(805\) | −1.17809 | − | 1.79120i | −0.0415223 | − | 0.0631316i | ||||
\(806\) | −86.9511 | − | 16.5474i | −3.06272 | − | 0.582858i | ||||
\(807\) | 11.7864 | − | 10.3217i | 0.414903 | − | 0.363342i | ||||
\(808\) | 6.93443 | − | 9.66515i | 0.243952 | − | 0.340019i | ||||
\(809\) | 29.6936i | 1.04397i | 0.852954 | + | 0.521986i | \(0.174809\pi\) | ||||
−0.852954 | + | 0.521986i | \(0.825191\pi\) | |||||||
\(810\) | 24.5217 | − | 0.312363i | 0.861604 | − | 0.0109753i | ||||
\(811\) | −38.9187 | −1.36662 | −0.683311 | − | 0.730127i | \(-0.739461\pi\) | ||||
−0.683311 | + | 0.730127i | \(0.739461\pi\) | |||||||
\(812\) | 12.1916 | − | 13.7560i | 0.427842 | − | 0.482740i | ||||
\(813\) | 25.9174 | − | 5.13626i | 0.908962 | − | 0.180136i | ||||
\(814\) | 22.4049 | + | 4.26382i | 0.785292 | + | 0.149447i | ||||
\(815\) | 16.4097 | − | 10.7928i | 0.574806 | − | 0.378056i | ||||
\(816\) | −5.15124 | − | 25.4486i | −0.180329 | − | 0.890880i | ||||
\(817\) | −0.261009 | + | 0.276654i | −0.00913156 | + | 0.00967889i | ||||
\(818\) | −7.64733 | − | 15.7548i | −0.267383 | − | 0.550855i | ||||
\(819\) | −13.2805 | − | 20.9114i | −0.464059 | − | 0.730702i | ||||
\(820\) | −3.86426 | + | 26.7612i | −0.134946 | + | 0.934542i | ||||
\(821\) | −11.5707 | + | 5.81102i | −0.403820 | + | 0.202806i | −0.639104 | − | 0.769121i | \(-0.720694\pi\) |
0.235283 | + | 0.971927i | \(0.424398\pi\) | |||||||
\(822\) | 35.3360 | − | 0.268016i | 1.23248 | − | 0.00934813i | ||||
\(823\) | 25.6861 | − | 11.0799i | 0.895362 | − | 0.386222i | 0.101867 | − | 0.994798i | \(-0.467518\pi\) |
0.793495 | + | 0.608577i | \(0.208259\pi\) | |||||||
\(824\) | 50.6675 | − | 9.85653i | 1.76509 | − | 0.343368i | ||||
\(825\) | −4.63649 | − | 1.28208i | −0.161422 | − | 0.0446362i | ||||
\(826\) | 4.88957 | − | 9.41619i | 0.170130 | − | 0.327631i | ||||
\(827\) | 12.8399 | + | 15.3020i | 0.446488 | + | 0.532104i | 0.941604 | − | 0.336723i | \(-0.109319\pi\) |
−0.495115 | + | 0.868827i | \(0.664874\pi\) | |||||||
\(828\) | −4.82646 | + | 0.0732196i | −0.167731 | + | 0.00254456i | ||||
\(829\) | −17.8125 | + | 21.2281i | −0.618654 | + | 0.737283i | −0.980838 | − | 0.194824i | \(-0.937587\pi\) |
0.362185 | + | 0.932106i | \(0.382031\pi\) | |||||||
\(830\) | 8.30121 | + | 19.9833i | 0.288139 | + | 0.693630i | ||||
\(831\) | −29.7244 | + | 47.3410i | −1.03113 | + | 1.64224i | ||||
\(832\) | 7.21101 | + | 47.2146i | 0.249997 | + | 1.63687i | ||||
\(833\) | 13.8672 | − | 13.0830i | 0.480471 | − | 0.453301i | ||||
\(834\) | 22.7261 | + | 9.59929i | 0.786939 | + | 0.332396i | ||||
\(835\) | −4.39556 | + | 10.1901i | −0.152115 | + | 0.352642i | ||||
\(836\) | −1.43647 | − | 0.472749i | −0.0496815 | − | 0.0163504i | ||||
\(837\) | −37.1764 | + | 39.8137i | −1.28500 | + | 1.37616i | ||||
\(838\) | −4.87775 | − | 6.74040i | −0.168499 | − | 0.232843i | ||||
\(839\) | 27.2329 | − | 3.18307i | 0.940185 | − | 0.109892i | 0.367826 | − | 0.929895i | \(-0.380102\pi\) |
0.572360 | + | 0.820003i | \(0.306028\pi\) | |||||||
\(840\) | 2.01632 | + | 12.8985i | 0.0695695 | + | 0.445041i | ||||
\(841\) | 14.7467 | − | 3.49504i | 0.508508 | − | 0.120519i | ||||
\(842\) | 5.41316 | + | 33.3295i | 0.186550 | + | 1.14861i | ||||
\(843\) | −21.9089 | − | 8.90688i | −0.754582 | − | 0.306769i | ||||
\(844\) | −35.1475 | − | 0.951010i | −1.20983 | − | 0.0327351i | ||||
\(845\) | −7.57619 | + | 42.9667i | −0.260629 | + | 1.47810i | ||||
\(846\) | −13.3762 | − | 1.96471i | −0.459883 | − | 0.0675481i | ||||
\(847\) | −8.64551 | + | 1.52444i | −0.297063 | + | 0.0523803i | ||||
\(848\) | −12.8309 | − | 34.8106i | −0.440616 | − | 1.19540i | ||||
\(849\) | 3.42505 | − | 2.35775i | 0.117548 | − | 0.0809177i | ||||
\(850\) | 3.49175 | − | 5.86328i | 0.119766 | − | 0.201109i | ||||
\(851\) | 4.82471 | + | 3.59186i | 0.165389 | + | 0.123127i | ||||
\(852\) | −8.20600 | + | 8.59497i | −0.281133 | + | 0.294459i | ||||
\(853\) | 51.3087 | + | 2.98839i | 1.75678 | + | 0.102321i | 0.906018 | − | 0.423238i | \(-0.139107\pi\) |
0.850757 | + | 0.525559i | \(0.176144\pi\) | |||||||
\(854\) | 27.5801 | − | 7.85208i | 0.943772 | − | 0.268693i | ||||
\(855\) | 1.45148 | + | 1.41385i | 0.0496394 | + | 0.0483526i | ||||
\(856\) | −4.28318 | − | 31.7830i | −0.146396 | − | 1.08632i | ||||
\(857\) | 7.60836 | − | 32.1022i | 0.259897 | − | 1.09659i | −0.673910 | − | 0.738813i | \(-0.735387\pi\) |
0.933807 | − | 0.357777i | \(-0.116465\pi\) | |||||||
\(858\) | −30.2868 | − | 8.81753i | −1.03397 | − | 0.301026i | ||||
\(859\) | 0.736798 | + | 12.6503i | 0.0251392 | + | 0.431624i | 0.987272 | + | 0.159042i | \(0.0508405\pi\) |
−0.962133 | + | 0.272582i | \(0.912122\pi\) | |||||||
\(860\) | 3.78575 | − | 1.77473i | 0.129093 | − | 0.0605177i | ||||
\(861\) | 2.56876 | − | 16.6114i | 0.0875430 | − | 0.566116i | ||||
\(862\) | 7.74805 | + | 34.7815i | 0.263900 | + | 1.18466i | ||||
\(863\) | −17.3733 | − | 30.0914i | −0.591394 | − | 1.02432i | −0.994045 | − | 0.108971i | \(-0.965244\pi\) |
0.402651 | − | 0.915354i | \(-0.368089\pi\) | |||||||
\(864\) | 26.9397 | + | 11.7582i | 0.916506 | + | 0.400022i | ||||
\(865\) | 8.77480 | − | 15.1984i | 0.298352 | − | 0.516761i | ||||
\(866\) | 31.3571 | + | 9.85175i | 1.06556 | + | 0.334776i | ||||
\(867\) | 2.46483 | − | 4.48528i | 0.0837100 | − | 0.152328i | ||||
\(868\) | −23.7878 | − | 16.5842i | −0.807410 | − | 0.562906i | ||||
\(869\) | −11.9105 | − | 5.98168i | −0.404036 | − | 0.202914i | ||||
\(870\) | −13.8620 | + | 28.1315i | −0.469965 | + | 0.953747i | ||||
\(871\) | −42.7540 | + | 12.7997i | −1.44866 | + | 0.433701i | ||||
\(872\) | −11.1965 | − | 4.59768i | −0.379160 | − | 0.155697i | ||||
\(873\) | −0.973956 | − | 2.81489i | −0.0329634 | − | 0.0952695i | ||||
\(874\) | −0.286371 | − | 0.277593i | −0.00968665 | − | 0.00938974i | ||||
\(875\) | −9.20737 | + | 13.9991i | −0.311266 | + | 0.473257i | ||||
\(876\) | 1.81471 | − | 28.2636i | 0.0613132 | − | 0.954937i | ||||
\(877\) | 5.00433 | − | 42.8148i | 0.168984 | − | 1.44575i | −0.596663 | − | 0.802492i | \(-0.703507\pi\) |
0.765647 | − | 0.643260i | \(-0.222419\pi\) | |||||||
\(878\) | 23.8141 | + | 42.5666i | 0.803687 | + | 1.43655i | ||||
\(879\) | −26.9113 | − | 2.57095i | −0.907697 | − | 0.0867160i | ||||
\(880\) | 12.7783 | + | 10.6338i | 0.430756 | + | 0.358466i | ||||
\(881\) | 12.6520 | − | 34.7610i | 0.426255 | − | 1.17113i | −0.521813 | − | 0.853060i | \(-0.674744\pi\) |
0.948068 | − | 0.318067i | \(-0.103034\pi\) | |||||||
\(882\) | 3.11960 | + | 21.3560i | 0.105042 | + | 0.719094i | ||||
\(883\) | −3.56417 | + | 1.29725i | −0.119944 | + | 0.0436560i | −0.401295 | − | 0.915949i | \(-0.631440\pi\) |
0.281351 | + | 0.959605i | \(0.409217\pi\) | |||||||
\(884\) | 23.4147 | − | 38.1347i | 0.787521 | − | 1.28261i | ||||
\(885\) | −3.80200 | + | 17.6989i | −0.127803 | + | 0.594941i | ||||
\(886\) | −1.70074 | + | 1.38833i | −0.0571376 | + | 0.0466419i | ||||
\(887\) | −2.37891 | + | 7.94612i | −0.0798761 | + | 0.266805i | −0.988594 | − | 0.150607i | \(-0.951877\pi\) |
0.908718 | + | 0.417411i | \(0.137063\pi\) | |||||||
\(888\) | −17.6928 | − | 32.0708i | −0.593733 | − | 1.07623i | ||||
\(889\) | −3.95067 | − | 5.30667i | −0.132501 | − | 0.177980i | ||||
\(890\) | −6.73987 | + | 0.695512i | −0.225921 | + | 0.0233136i | ||||
\(891\) | −14.5385 | + | 12.8647i | −0.487057 | + | 0.430984i | ||||
\(892\) | 9.59356 | + | 45.9883i | 0.321216 | + | 1.53980i | ||||
\(893\) | −0.667065 | − | 0.896023i | −0.0223225 | − | 0.0299843i | ||||
\(894\) | −10.9953 | − | 10.2171i | −0.367739 | − | 0.341710i | ||||
\(895\) | 15.0323 | + | 4.50039i | 0.502476 | + | 0.150431i | ||||
\(896\) | −4.16188 | + | 15.0842i | −0.139039 | + | 0.503928i | ||||
\(897\) | −6.17032 | − | 5.57997i | −0.206021 | − | 0.186310i | ||||
\(898\) | 7.52276 | − | 9.82456i | 0.251038 | − | 0.327850i | ||||
\(899\) | −23.8251 | − | 65.4590i | −0.794612 | − | 2.18318i | ||||
\(900\) | 3.16717 | + | 7.04646i | 0.105572 | + | 0.234882i | ||||
\(901\) | −11.8886 | + | 32.6635i | −0.396065 | + | 1.08818i | ||||
\(902\) | −11.5188 | − | 18.0402i | −0.383533 | − | 0.600674i | ||||
\(903\) | −2.36437 | + | 1.07964i | −0.0786815 | + | 0.0359283i | ||||
\(904\) | 30.8400 | + | 35.4668i | 1.02572 | + | 1.17961i | ||||
\(905\) | −2.58981 | + | 22.1572i | −0.0860881 | + | 0.736531i | ||||
\(906\) | 1.46968 | + | 1.21434i | 0.0488270 | + | 0.0403436i | ||||
\(907\) | −17.3645 | − | 11.4208i | −0.576579 | − | 0.379222i | 0.227470 | − | 0.973785i | \(-0.426955\pi\) |
−0.804049 | + | 0.594563i | \(0.797325\pi\) | |||||||
\(908\) | 37.1879 | + | 29.2815i | 1.23413 | + | 0.971739i | ||||
\(909\) | 4.50391 | − | 11.7858i | 0.149385 | − | 0.390909i | ||||
\(910\) | −12.6171 | + | 18.6296i | −0.418254 | + | 0.617566i | ||||
\(911\) | −6.51992 | − | 21.7781i | −0.216015 | − | 0.721539i | −0.995470 | − | 0.0950808i | \(-0.969689\pi\) |
0.779455 | − | 0.626458i | \(-0.215496\pi\) | |||||||
\(912\) | 0.887861 | + | 2.26055i | 0.0294000 | + | 0.0748544i | ||||
\(913\) | −15.3074 | − | 7.68769i | −0.506602 | − | 0.254425i | ||||
\(914\) | −0.212416 | + | 0.246304i | −0.00702611 | + | 0.00814702i | ||||
\(915\) | −41.8458 | + | 25.3522i | −1.38338 | + | 0.838119i | ||||
\(916\) | 7.75411 | + | 1.58463i | 0.256203 | + | 0.0523576i | ||||
\(917\) | −11.9618 | + | 20.7184i | −0.395012 | + | 0.684182i | ||||
\(918\) | −12.1533 | − | 24.7131i | −0.401120 | − | 0.815653i | ||||
\(919\) | 16.7516 | − | 9.67152i | 0.552583 | − | 0.319034i | −0.197580 | − | 0.980287i | \(-0.563308\pi\) |
0.750163 | + | 0.661253i | \(0.229975\pi\) | |||||||
\(920\) | 1.80712 | + | 3.99455i | 0.0595790 | + | 0.131697i | ||||
\(921\) | −23.8804 | + | 9.26717i | −0.786887 | + | 0.305364i | ||||
\(922\) | 8.22313 | + | 23.5804i | 0.270814 | + | 0.776580i | ||||
\(923\) | −20.4457 | + | 1.19083i | −0.672979 | + | 0.0391966i | ||||
\(924\) | −7.87711 | − | 6.68983i | −0.259138 | − | 0.220079i | ||||
\(925\) | 2.22007 | − | 9.36723i | 0.0729956 | − | 0.307993i | ||||
\(926\) | 1.59762 | − | 22.2428i | 0.0525009 | − | 0.730942i | ||||
\(927\) | 49.3108 | − | 23.7872i | 1.61958 | − | 0.781275i | ||||
\(928\) | −29.0222 | + | 23.8889i | −0.952702 | + | 0.784190i | ||||
\(929\) | 37.2111 | + | 2.16730i | 1.22086 | + | 0.0711067i | 0.656436 | − | 0.754381i | \(-0.272063\pi\) |
0.564419 | + | 0.825488i | \(0.309100\pi\) | |||||||
\(930\) | 46.6194 | + | 16.5687i | 1.52871 | + | 0.543310i | ||||
\(931\) | −1.06489 | + | 1.43040i | −0.0349004 | + | 0.0468793i | ||||
\(932\) | 0.369013 | + | 0.171159i | 0.0120874 | + | 0.00560651i | ||||
\(933\) | −1.30300 | − | 16.3994i | −0.0426584 | − | 0.536891i | ||||
\(934\) | 0.956037 | + | 21.3966i | 0.0312825 | + | 0.700117i | ||||
\(935\) | −2.70466 | − | 15.3389i | −0.0884520 | − | 0.501636i | ||||
\(936\) | 20.1416 | + | 46.4831i | 0.658347 | + | 1.51935i | ||||
\(937\) | −5.91751 | + | 33.5599i | −0.193317 | + | 1.09635i | 0.721479 | + | 0.692436i | \(0.243463\pi\) |
−0.914796 | + | 0.403917i | \(0.867649\pi\) | |||||||
\(938\) | −14.4982 | − | 1.89370i | −0.473382 | − | 0.0618313i | ||||
\(939\) | −2.73257 | + | 0.378018i | −0.0891741 | + | 0.0123362i | ||||
\(940\) | 3.20240 | + | 11.8548i | 0.104451 | + | 0.386662i | ||||
\(941\) | 12.5787 | − | 2.98120i | 0.410053 | − | 0.0971843i | −0.0204121 | − | 0.999792i | \(-0.506498\pi\) |
0.430465 | + | 0.902607i | \(0.358350\pi\) | |||||||
\(942\) | −18.6163 | − | 12.0428i | −0.606551 | − | 0.392377i | ||||
\(943\) | −0.655334 | − | 5.60674i | −0.0213406 | − | 0.182580i | ||||
\(944\) | −12.8859 | + | 17.4568i | −0.419400 | + | 0.568172i | ||||
\(945\) | 5.55000 | + | 12.6862i | 0.180542 | + | 0.412682i | ||||
\(946\) | −1.35192 | + | 3.02108i | −0.0439547 | + | 0.0982239i | ||||
\(947\) | 41.9064 | + | 18.0767i | 1.36177 | + | 0.587412i | 0.946624 | − | 0.322340i | \(-0.104470\pi\) |
0.415151 | + | 0.909753i | \(0.363729\pi\) | |||||||
\(948\) | 4.81245 | + | 20.8567i | 0.156301 | + | 0.677395i | ||||
\(949\) | 35.5042 | − | 33.4965i | 1.15252 | − | 1.08734i | ||||
\(950\) | −0.226411 | + | 0.596816i | −0.00734574 | + | 0.0193633i | ||||
\(951\) | 37.9878 | − | 20.0933i | 1.23184 | − | 0.651569i | ||||
\(952\) | 12.1052 | − | 8.27057i | 0.392332 | − | 0.268051i | ||||
\(953\) | 12.3322 | − | 14.6969i | 0.399479 | − | 0.476080i | −0.528382 | − | 0.849007i | \(-0.677201\pi\) |
0.927861 | + | 0.372926i | \(0.121646\pi\) | |||||||
\(954\) | −22.5578 | − | 32.2429i | −0.730336 | − | 1.04390i | ||||
\(955\) | 6.84087 | − | 5.74017i | 0.221365 | − | 0.185748i | ||||
\(956\) | 1.76787 | + | 0.698164i | 0.0571771 | + | 0.0225802i | ||||
\(957\) | −6.23386 | − | 24.0304i | −0.201512 | − | 0.776792i | ||||
\(958\) | 0.458496 | − | 33.8965i | 0.0148133 | − | 1.09515i | ||||
\(959\) | 7.90288 | + | 18.3209i | 0.255197 | + | 0.591614i | ||||
\(960\) | 0.0498042 | − | 26.6980i | 0.00160742 | − | 0.861673i | ||||
\(961\) | −70.5047 | + | 35.4088i | −2.27434 | + | 1.14222i | ||||
\(962\) | 15.3874 | − | 61.2221i | 0.496108 | − | 1.97388i | ||||
\(963\) | −12.9728 | − | 31.4447i | −0.418043 | − | 1.01329i | ||||
\(964\) | 43.5945 | − | 27.0123i | 1.40408 | − | 0.870007i | ||||
\(965\) | −31.4791 | + | 33.3659i | −1.01335 | + | 1.07409i | ||||
\(966\) | −1.09848 | − | 2.49437i | −0.0353430 | − | 0.0802551i | ||||
\(967\) | −12.4711 | − | 18.9613i | −0.401043 | − | 0.609756i | 0.577354 | − | 0.816494i | \(-0.304085\pi\) |
−0.978396 | + | 0.206738i | \(0.933715\pi\) | |||||||
\(968\) | 17.9502 | − | 0.315973i | 0.576940 | − | 0.0101558i | ||||
\(969\) | 0.732947 | − | 2.15419i | 0.0235457 | − | 0.0692026i | ||||
\(970\) | −1.99279 | + | 1.82980i | −0.0639847 | + | 0.0587512i | ||||
\(971\) | − | 10.0898i | − | 0.323796i | −0.986808 | − | 0.161898i | \(-0.948238\pi\) | ||
0.986808 | − | 0.161898i | \(-0.0517615\pi\) | |||||||
\(972\) | 30.8069 | + | 4.78878i | 0.988133 | + | 0.153600i | ||||
\(973\) | 13.9298i | 0.446570i | ||||||||
\(974\) | −38.2672 | − | 41.6760i | −1.22616 | − | 1.33538i | ||||
\(975\) | −4.28876 | + | 12.6050i | −0.137350 | + | 0.403684i | ||||
\(976\) | −58.2182 | + | 7.04536i | −1.86352 | + | 0.225516i | ||||
\(977\) | −9.49257 | − | 14.4327i | −0.303694 | − | 0.461745i | 0.651109 | − | 0.758985i | \(-0.274304\pi\) |
−0.954803 | + | 0.297240i | \(0.903934\pi\) | |||||||
\(978\) | 22.8516 | − | 10.0635i | 0.730714 | − | 0.321794i | ||||
\(979\) | 3.68076 | − | 3.90137i | 0.117637 | − | 0.124688i | ||||
\(980\) | 16.6636 | − | 10.3252i | 0.532299 | − | 0.329826i | ||||
\(981\) | −12.7257 | − | 1.69366i | −0.406300 | − | 0.0540745i | ||||
\(982\) | 54.1055 | + | 13.5987i | 1.72657 | + | 0.433951i | ||||
\(983\) | −53.2240 | + | 26.7301i | −1.69758 | + | 0.852558i | −0.708409 | + | 0.705802i | \(0.750587\pi\) |
−0.989173 | + | 0.146755i | \(0.953117\pi\) | |||||||
\(984\) | −10.4978 | + | 32.7321i | −0.334658 | + | 1.04346i | ||||
\(985\) | 11.9043 | + | 27.5972i | 0.379302 | + | 0.879320i | ||||
\(986\) | 35.2152 | + | 0.476334i | 1.12148 | + | 0.0151696i | ||||
\(987\) | −1.91688 | − | 7.38922i | −0.0610149 | − | 0.235201i | ||||
\(988\) | −1.53746 | + | 3.89312i | −0.0489132 | + | 0.123857i | ||||
\(989\) | −0.668673 | + | 0.561084i | −0.0212626 | + | 0.0178414i | ||||
\(990\) | 15.9776 | + | 7.45815i | 0.507802 | + | 0.237036i | ||||
\(991\) | 3.49035 | − | 4.15964i | 0.110875 | − | 0.132135i | −0.707753 | − | 0.706460i | \(-0.750291\pi\) |
0.818627 | + | 0.574325i | \(0.194735\pi\) | |||||||
\(992\) | 42.7480 | + | 41.1011i | 1.35725 | + | 1.30496i | ||||
\(993\) | 4.25218 | − | 2.24915i | 0.134939 | − | 0.0713746i | ||||
\(994\) | −6.27352 | − | 2.37995i | −0.198984 | − | 0.0754875i | ||||
\(995\) | −11.1805 | + | 10.5482i | −0.354445 | + | 0.334401i | ||||
\(996\) | 6.18499 | + | 26.8052i | 0.195979 | + | 0.849355i | ||||
\(997\) | −5.03172 | − | 2.17047i | −0.159356 | − | 0.0687395i | 0.314908 | − | 0.949122i | \(-0.398026\pi\) |
−0.474264 | + | 0.880383i | \(0.657286\pi\) | |||||||
\(998\) | 20.8506 | + | 9.33053i | 0.660013 | + | 0.295353i | ||||
\(999\) | −26.8053 | − | 28.1202i | −0.848082 | − | 0.889685i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 648.2.bb.b.155.25 | yes | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.155.18 | ✓ | 1872 | |
81.23 | odd | 54 | inner | 648.2.bb.b.347.18 | yes | 1872 | |
648.347 | even | 54 | inner | 648.2.bb.b.347.25 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.155.18 | ✓ | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.155.25 | yes | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.347.18 | yes | 1872 | 81.23 | odd | 54 | inner | |
648.2.bb.b.347.25 | yes | 1872 | 648.347 | even | 54 | inner |